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Finding the Fourth Proportional to 15,687.90, 21,649.34 and 8,614.78

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Solution

The fourth proportional to 15,687.90, 21,649.34 and 8,614.78 is: 11,888.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,687.90 : 21,649.34 = 8,614.78 : x
  2. Step 2: Convert to fraction form
    15,687.90/21,649.34 = 8,614.78/x
  3. Step 3: Cross multiply
    15,687.90x = 21,649.34 × 8,614.78
  4. Step 4: Simplify right side
    15,687.90x = 186,504,301.25
  5. Step 5: Solve for x
    x = 186,504,301.25/15,687.90
  6. Step 6: Final answer
    x = 11,888.42

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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.