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Finding the Fourth Proportional to 27,875.71, 38,470.49 and 15,942.79

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Solution

The fourth proportional to 27,875.71, 38,470.49 and 15,942.79 is: 22,002.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,875.71 : 38,470.49 = 15,942.79 : x
  2. Step 2: Convert to fraction form
    27,875.71/38,470.49 = 15,942.79/x
  3. Step 3: Cross multiply
    27,875.71x = 38,470.49 × 15,942.79
  4. Step 4: Simplify right side
    27,875.71x = 613,326,943.27
  5. Step 5: Solve for x
    x = 613,326,943.27/27,875.71
  6. Step 6: Final answer
    x = 22,002.20

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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.