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Finding the Fourth Proportional to 15,900.40, 23,854.14 and 5,227.24

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Solution

The fourth proportional to 15,900.40, 23,854.14 and 5,227.24 is: 7,842.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,900.40 : 23,854.14 = 5,227.24 : x
  2. Step 2: Convert to fraction form
    15,900.40/23,854.14 = 5,227.24/x
  3. Step 3: Cross multiply
    15,900.40x = 23,854.14 × 5,227.24
  4. Step 4: Simplify right side
    15,900.40x = 124,691,314.77
  5. Step 5: Solve for x
    x = 124,691,314.77/15,900.40
  6. Step 6: Final answer
    x = 7,842.02

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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.