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Finding the Fourth Proportional to 12,338.43, 17,032.48 and 8,089.57

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Solution

The fourth proportional to 12,338.43, 17,032.48 and 8,089.57 is: 11,167.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,338.43 : 17,032.48 = 8,089.57 : x
  2. Step 2: Convert to fraction form
    12,338.43/17,032.48 = 8,089.57/x
  3. Step 3: Cross multiply
    12,338.43x = 17,032.48 × 8,089.57
  4. Step 4: Simplify right side
    12,338.43x = 137,785,440.30
  5. Step 5: Solve for x
    x = 137,785,440.30/12,338.43
  6. Step 6: Final answer
    x = 11,167.18

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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.