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Finding the Fourth Proportional to 22,191.89, 30,624.02 and 13,234.76

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Solution

The fourth proportional to 22,191.89, 30,624.02 and 13,234.76 is: 18,263.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,191.89 : 30,624.02 = 13,234.76 : x
  2. Step 2: Convert to fraction form
    22,191.89/30,624.02 = 13,234.76/x
  3. Step 3: Cross multiply
    22,191.89x = 30,624.02 × 13,234.76
  4. Step 4: Simplify right side
    22,191.89x = 405,301,335.64
  5. Step 5: Solve for x
    x = 405,301,335.64/22,191.89
  6. Step 6: Final answer
    x = 18,263.49

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.