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Finding the Fourth Proportional to 12,332.54, 17,013.14 and 8,082.47

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Solution

The fourth proportional to 12,332.54, 17,013.14 and 8,082.47 is: 11,150.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,332.54 : 17,013.14 = 8,082.47 : x
  2. Step 2: Convert to fraction form
    12,332.54/17,013.14 = 8,082.47/x
  3. Step 3: Cross multiply
    12,332.54x = 17,013.14 × 8,082.47
  4. Step 4: Simplify right side
    12,332.54x = 137,508,226.09
  5. Step 5: Solve for x
    x = 137,508,226.09/12,332.54
  6. Step 6: Final answer
    x = 11,150.03

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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.