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Finding the Fourth Proportional to 12,559.97, 17,335.15 and 8,311.12

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Solution

The fourth proportional to 12,559.97, 17,335.15 and 8,311.12 is: 11,470.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,559.97 : 17,335.15 = 8,311.12 : x
  2. Step 2: Convert to fraction form
    12,559.97/17,335.15 = 8,311.12/x
  3. Step 3: Cross multiply
    12,559.97x = 17,335.15 × 8,311.12
  4. Step 4: Simplify right side
    12,559.97x = 144,074,511.87
  5. Step 5: Solve for x
    x = 144,074,511.87/12,559.97
  6. Step 6: Final answer
    x = 11,470.93

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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.