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Finding the Fourth Proportional to 13,251.75, 18,287.02 and 7,586.31

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Solution

The fourth proportional to 13,251.75, 18,287.02 and 7,586.31 is: 10,468.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,251.75 : 18,287.02 = 7,586.31 : x
  2. Step 2: Convert to fraction form
    13,251.75/18,287.02 = 7,586.31/x
  3. Step 3: Cross multiply
    13,251.75x = 18,287.02 × 7,586.31
  4. Step 4: Simplify right side
    13,251.75x = 138,731,002.70
  5. Step 5: Solve for x
    x = 138,731,002.70/13,251.75
  6. Step 6: Final answer
    x = 10,468.88

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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.