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Finding the Fourth Proportional to 17,568.43, 24,228.25 and 11,516.47

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Solution

The fourth proportional to 17,568.43, 24,228.25 and 11,516.47 is: 15,882.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,568.43 : 24,228.25 = 11,516.47 : x
  2. Step 2: Convert to fraction form
    17,568.43/24,228.25 = 11,516.47/x
  3. Step 3: Cross multiply
    17,568.43x = 24,228.25 × 11,516.47
  4. Step 4: Simplify right side
    17,568.43x = 279,023,914.28
  5. Step 5: Solve for x
    x = 279,023,914.28/17,568.43
  6. Step 6: Final answer
    x = 15,882.12

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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.