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Finding the Fourth Proportional to 27,715.97, 38,248.03 and 14,969.16

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Solution

The fourth proportional to 27,715.97, 38,248.03 and 14,969.16 is: 20,657.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,715.97 : 38,248.03 = 14,969.16 : x
  2. Step 2: Convert to fraction form
    27,715.97/38,248.03 = 14,969.16/x
  3. Step 3: Cross multiply
    27,715.97x = 38,248.03 × 14,969.16
  4. Step 4: Simplify right side
    27,715.97x = 572,540,614.67
  5. Step 5: Solve for x
    x = 572,540,614.67/27,715.97
  6. Step 6: Final answer
    x = 20,657.43

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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.