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Finding the Fourth Proportional to 22,532.78, 33,772.24 and 10,508.74

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Solution

The fourth proportional to 22,532.78, 33,772.24 and 10,508.74 is: 15,750.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,532.78 : 33,772.24 = 10,508.74 : x
  2. Step 2: Convert to fraction form
    22,532.78/33,772.24 = 10,508.74/x
  3. Step 3: Cross multiply
    22,532.78x = 33,772.24 × 10,508.74
  4. Step 4: Simplify right side
    22,532.78x = 354,903,618.08
  5. Step 5: Solve for x
    x = 354,903,618.08/22,532.78
  6. Step 6: Final answer
    x = 15,750.55

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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.