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Finding the Fourth Proportional to 15,687.59, 23,534.27 and 5,158.20

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Solution

The fourth proportional to 15,687.59, 23,534.27 and 5,158.20 is: 7,738.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,687.59 : 23,534.27 = 5,158.20 : x
  2. Step 2: Convert to fraction form
    15,687.59/23,534.27 = 5,158.20/x
  3. Step 3: Cross multiply
    15,687.59x = 23,534.27 × 5,158.20
  4. Step 4: Simplify right side
    15,687.59x = 121,394,445.72
  5. Step 5: Solve for x
    x = 121,394,445.72/15,687.59
  6. Step 6: Final answer
    x = 7,738.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.