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Finding the Fourth Proportional to 15,817.56, 23,724 and 5,287.62

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Solution

The fourth proportional to 15,817.56, 23,724 and 5,287.62 is: 7,930.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,817.56 : 23,724 = 5,287.62 : x
  2. Step 2: Convert to fraction form
    15,817.56/23,724 = 5,287.62/x
  3. Step 3: Cross multiply
    15,817.56x = 23,724 × 5,287.62
  4. Step 4: Simplify right side
    15,817.56x = 125,443,496.88
  5. Step 5: Solve for x
    x = 125,443,496.88/15,817.56
  6. Step 6: Final answer
    x = 7,930.65

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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.