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Finding the Fourth Proportional to 15,713.70, 21,684.90 and 8,640.12

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Solution

The fourth proportional to 15,713.70, 21,684.90 and 8,640.12 is: 11,923.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,713.70 : 21,684.90 = 8,640.12 : x
  2. Step 2: Convert to fraction form
    15,713.70/21,684.90 = 8,640.12/x
  3. Step 3: Cross multiply
    15,713.70x = 21,684.90 × 8,640.12
  4. Step 4: Simplify right side
    15,713.70x = 187,360,138.19
  5. Step 5: Solve for x
    x = 187,360,138.19/15,713.70
  6. Step 6: Final answer
    x = 11,923.36

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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.