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Finding the Fourth Proportional to 15,713.88, 21,685.77 and 8,640.96

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Solution

The fourth proportional to 15,713.88, 21,685.77 and 8,640.96 is: 11,924.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,713.88 : 21,685.77 = 8,640.96 : x
  2. Step 2: Convert to fraction form
    15,713.88/21,685.77 = 8,640.96/x
  3. Step 3: Cross multiply
    15,713.88x = 21,685.77 × 8,640.96
  4. Step 4: Simplify right side
    15,713.88x = 187,385,871.14
  5. Step 5: Solve for x
    x = 187,385,871.14/15,713.88
  6. Step 6: Final answer
    x = 11,924.86

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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.