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Finding the Fourth Proportional to 27,607.20, 38,101.68 and 16,428

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Solution

The fourth proportional to 27,607.20, 38,101.68 and 16,428 is: 22,672.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,607.20 : 38,101.68 = 16,428 : x
  2. Step 2: Convert to fraction form
    27,607.20/38,101.68 = 16,428/x
  3. Step 3: Cross multiply
    27,607.20x = 38,101.68 × 16,428
  4. Step 4: Simplify right side
    27,607.20x = 625,934,399.04
  5. Step 5: Solve for x
    x = 625,934,399.04/27,607.20
  6. Step 6: Final answer
    x = 22,672.87

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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.