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Finding the Fourth Proportional to 27,942, 38,560.32 and 15,367.20

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Solution

The fourth proportional to 27,942, 38,560.32 and 15,367.20 is: 21,206.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,942 : 38,560.32 = 15,367.20 : x
  2. Step 2: Convert to fraction form
    27,942/38,560.32 = 15,367.20/x
  3. Step 3: Cross multiply
    27,942x = 38,560.32 × 15,367.20
  4. Step 4: Simplify right side
    27,942x = 592,564,149.50
  5. Step 5: Solve for x
    x = 592,564,149.50/27,942
  6. Step 6: Final answer
    x = 21,206.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.