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Finding the Fourth Proportional to 15,713.55, 21,684.70 and 8,640.43

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Solution

The fourth proportional to 15,713.55, 21,684.70 and 8,640.43 is: 11,923.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,713.55 : 21,684.70 = 8,640.43 : x
  2. Step 2: Convert to fraction form
    15,713.55/21,684.70 = 8,640.43/x
  3. Step 3: Cross multiply
    15,713.55x = 21,684.70 × 8,640.43
  4. Step 4: Simplify right side
    15,713.55x = 187,365,089.22
  5. Step 5: Solve for x
    x = 187,365,089.22/15,713.55
  6. Step 6: Final answer
    x = 11,923.79

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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.