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Finding the Fourth Proportional to 17,567.10, 24,244.92 and 10,016.16

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Solution

The fourth proportional to 17,567.10, 24,244.92 and 10,016.16 is: 13,823.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,567.10 : 24,244.92 = 10,016.16 : x
  2. Step 2: Convert to fraction form
    17,567.10/24,244.92 = 10,016.16/x
  3. Step 3: Cross multiply
    17,567.10x = 24,244.92 × 10,016.16
  4. Step 4: Simplify right side
    17,567.10x = 242,840,997.91
  5. Step 5: Solve for x
    x = 242,840,997.91/17,567.10
  6. Step 6: Final answer
    x = 13,823.62

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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.