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Finding the Fourth Proportional to 15,464.70, 23,167.18 and 9,229.68

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Solution

The fourth proportional to 15,464.70, 23,167.18 and 9,229.68 is: 13,826.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,464.70 : 23,167.18 = 9,229.68 : x
  2. Step 2: Convert to fraction form
    15,464.70/23,167.18 = 9,229.68/x
  3. Step 3: Cross multiply
    15,464.70x = 23,167.18 × 9,229.68
  4. Step 4: Simplify right side
    15,464.70x = 213,825,657.90
  5. Step 5: Solve for x
    x = 213,825,657.90/15,464.70
  6. Step 6: Final answer
    x = 13,826.69

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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.