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Finding the Fourth Proportional to 15,687.12, 21,648.32 and 8,614.16

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Solution

The fourth proportional to 15,687.12, 21,648.32 and 8,614.16 is: 11,887.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,687.12 : 21,648.32 = 8,614.16 : x
  2. Step 2: Convert to fraction form
    15,687.12/21,648.32 = 8,614.16/x
  3. Step 3: Cross multiply
    15,687.12x = 21,648.32 × 8,614.16
  4. Step 4: Simplify right side
    15,687.12x = 186,482,092.21
  5. Step 5: Solve for x
    x = 186,482,092.21/15,687.12
  6. Step 6: Final answer
    x = 11,887.59

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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.