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Finding the Fourth Proportional to 12,331.66, 17,012.91 and 7,854.61

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Solution

The fourth proportional to 12,331.66, 17,012.91 and 7,854.61 is: 10,836.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,331.66 : 17,012.91 = 7,854.61 : x
  2. Step 2: Convert to fraction form
    12,331.66/17,012.91 = 7,854.61/x
  3. Step 3: Cross multiply
    12,331.66x = 17,012.91 × 7,854.61
  4. Step 4: Simplify right side
    12,331.66x = 133,629,773.02
  5. Step 5: Solve for x
    x = 133,629,773.02/12,331.66
  6. Step 6: Final answer
    x = 10,836.32

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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.