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Finding the Fourth Proportional to 12,557.97, 17,332.39 and 8,309.12

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Solution

The fourth proportional to 12,557.97, 17,332.39 and 8,309.12 is: 11,468.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,557.97 : 17,332.39 = 8,309.12 : x
  2. Step 2: Convert to fraction form
    12,557.97/17,332.39 = 8,309.12/x
  3. Step 3: Cross multiply
    12,557.97x = 17,332.39 × 8,309.12
  4. Step 4: Simplify right side
    12,557.97x = 144,016,800.96
  5. Step 5: Solve for x
    x = 144,016,800.96/12,557.97
  6. Step 6: Final answer
    x = 11,468.16

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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.