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Finding the Fourth Proportional to 15,687.75, 21,649.10 and 8,614.29

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Solution

The fourth proportional to 15,687.75, 21,649.10 and 8,614.29 is: 11,887.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,687.75 : 21,649.10 = 8,614.29 : x
  2. Step 2: Convert to fraction form
    15,687.75/21,649.10 = 8,614.29/x
  3. Step 3: Cross multiply
    15,687.75x = 21,649.10 × 8,614.29
  4. Step 4: Simplify right side
    15,687.75x = 186,491,582.57
  5. Step 5: Solve for x
    x = 186,491,582.57/15,687.75
  6. Step 6: Final answer
    x = 11,887.72

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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.