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Finding the Fourth Proportional to 24,122, 33,294.12 and 14,191.76

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Solution

The fourth proportional to 24,122, 33,294.12 and 14,191.76 is: 19,588.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,122 : 33,294.12 = 14,191.76 : x
  2. Step 2: Convert to fraction form
    24,122/33,294.12 = 14,191.76/x
  3. Step 3: Cross multiply
    24,122x = 33,294.12 × 14,191.76
  4. Step 4: Simplify right side
    24,122x = 472,502,160.45
  5. Step 5: Solve for x
    x = 472,502,160.45/24,122
  6. Step 6: Final answer
    x = 19,588.02

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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.