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Finding the Fourth Proportional to 15,734.71, 21,713.29 and 8,660.98

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Solution

The fourth proportional to 15,734.71, 21,713.29 and 8,660.98 is: 11,951.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,734.71 : 21,713.29 = 8,660.98 : x
  2. Step 2: Convert to fraction form
    15,734.71/21,713.29 = 8,660.98/x
  3. Step 3: Cross multiply
    15,734.71x = 21,713.29 × 8,660.98
  4. Step 4: Simplify right side
    15,734.71x = 188,058,370.42
  5. Step 5: Solve for x
    x = 188,058,370.42/15,734.71
  6. Step 6: Final answer
    x = 11,951.82

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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.