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Finding the Fourth Proportional to 15,713.80, 21,685.98 and 8,640.76

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Solution

The fourth proportional to 15,713.80, 21,685.98 and 8,640.76 is: 11,924.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,713.80 : 21,685.98 = 8,640.76 : x
  2. Step 2: Convert to fraction form
    15,713.80/21,685.98 = 8,640.76/x
  3. Step 3: Cross multiply
    15,713.80x = 21,685.98 × 8,640.76
  4. Step 4: Simplify right side
    15,713.80x = 187,383,348.54
  5. Step 5: Solve for x
    x = 187,383,348.54/15,713.80
  6. Step 6: Final answer
    x = 11,924.76

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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.