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Finding the Fourth Proportional to 17,411.92, 24,028.68 and 9,454.24

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Solution

The fourth proportional to 17,411.92, 24,028.68 and 9,454.24 is: 13,046.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,411.92 : 24,028.68 = 9,454.24 : x
  2. Step 2: Convert to fraction form
    17,411.92/24,028.68 = 9,454.24/x
  3. Step 3: Cross multiply
    17,411.92x = 24,028.68 × 9,454.24
  4. Step 4: Simplify right side
    17,411.92x = 227,172,907.60
  5. Step 5: Solve for x
    x = 227,172,907.60/17,411.92
  6. Step 6: Final answer
    x = 13,046.98

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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.