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Finding the Fourth Proportional to 27,824.62, 38,398.02 and 16,337.31

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Solution

The fourth proportional to 27,824.62, 38,398.02 and 16,337.31 is: 22,545.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,824.62 : 38,398.02 = 16,337.31 : x
  2. Step 2: Convert to fraction form
    27,824.62/38,398.02 = 16,337.31/x
  3. Step 3: Cross multiply
    27,824.62x = 38,398.02 × 16,337.31
  4. Step 4: Simplify right side
    27,824.62x = 627,320,342.71
  5. Step 5: Solve for x
    x = 627,320,342.71/27,824.62
  6. Step 6: Final answer
    x = 22,545.51

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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.