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Finding the Fourth Proportional to 22,134.51, 33,206.78 and 8,094.47

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Solution

The fourth proportional to 22,134.51, 33,206.78 and 8,094.47 is: 12,143.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,134.51 : 33,206.78 = 8,094.47 : x
  2. Step 2: Convert to fraction form
    22,134.51/33,206.78 = 8,094.47/x
  3. Step 3: Cross multiply
    22,134.51x = 33,206.78 × 8,094.47
  4. Step 4: Simplify right side
    22,134.51x = 268,791,327.05
  5. Step 5: Solve for x
    x = 268,791,327.05/22,134.51
  6. Step 6: Final answer
    x = 12,143.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.