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Finding the Fourth Proportional to 12,641.31, 17,439.89 and 7,857.85

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Solution

The fourth proportional to 12,641.31, 17,439.89 and 7,857.85 is: 10,840.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,641.31 : 17,439.89 = 7,857.85 : x
  2. Step 2: Convert to fraction form
    12,641.31/17,439.89 = 7,857.85/x
  3. Step 3: Cross multiply
    12,641.31x = 17,439.89 × 7,857.85
  4. Step 4: Simplify right side
    12,641.31x = 137,040,039.64
  5. Step 5: Solve for x
    x = 137,040,039.64/12,641.31
  6. Step 6: Final answer
    x = 10,840.65

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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.