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Finding the Fourth Proportional to 17,473.64, 24,114.05 and 9,516.29

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Solution

The fourth proportional to 17,473.64, 24,114.05 and 9,516.29 is: 13,132.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,473.64 : 24,114.05 = 9,516.29 : x
  2. Step 2: Convert to fraction form
    17,473.64/24,114.05 = 9,516.29/x
  3. Step 3: Cross multiply
    17,473.64x = 24,114.05 × 9,516.29
  4. Step 4: Simplify right side
    17,473.64x = 229,476,245.29
  5. Step 5: Solve for x
    x = 229,476,245.29/17,473.64
  6. Step 6: Final answer
    x = 13,132.71

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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.