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Finding the Fourth Proportional to 12,832.83, 17,708.78 and 7,167.55

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Solution

The fourth proportional to 12,832.83, 17,708.78 and 7,167.55 is: 9,890.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,832.83 : 17,708.78 = 7,167.55 : x
  2. Step 2: Convert to fraction form
    12,832.83/17,708.78 = 7,167.55/x
  3. Step 3: Cross multiply
    12,832.83x = 17,708.78 × 7,167.55
  4. Step 4: Simplify right side
    12,832.83x = 126,928,557.53
  5. Step 5: Solve for x
    x = 126,928,557.53/12,832.83
  6. Step 6: Final answer
    x = 9,890.92

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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.