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Finding the Fourth Proportional to 27,877.50, 38,470.95 and 15,301.98

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Solution

The fourth proportional to 27,877.50, 38,470.95 and 15,301.98 is: 21,116.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,877.50 : 38,470.95 = 15,301.98 : x
  2. Step 2: Convert to fraction form
    27,877.50/38,470.95 = 15,301.98/x
  3. Step 3: Cross multiply
    27,877.50x = 38,470.95 × 15,301.98
  4. Step 4: Simplify right side
    27,877.50x = 588,681,707.48
  5. Step 5: Solve for x
    x = 588,681,707.48/27,877.50
  6. Step 6: Final answer
    x = 21,116.73

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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.