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Finding the Fourth Proportional to 17,461.92, 24,097.36 and 9,504.15

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Solution

The fourth proportional to 17,461.92, 24,097.36 and 9,504.15 is: 13,115.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,461.92 : 24,097.36 = 9,504.15 : x
  2. Step 2: Convert to fraction form
    17,461.92/24,097.36 = 9,504.15/x
  3. Step 3: Cross multiply
    17,461.92x = 24,097.36 × 9,504.15
  4. Step 4: Simplify right side
    17,461.92x = 229,024,924.04
  5. Step 5: Solve for x
    x = 229,024,924.04/17,461.92
  6. Step 6: Final answer
    x = 13,115.68

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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.