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Finding the Fourth Proportional to 13,456.31, 18,567.74 and 8,077.61

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Solution

The fourth proportional to 13,456.31, 18,567.74 and 8,077.61 is: 11,145.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,456.31 : 18,567.74 = 8,077.61 : x
  2. Step 2: Convert to fraction form
    13,456.31/18,567.74 = 8,077.61/x
  3. Step 3: Cross multiply
    13,456.31x = 18,567.74 × 8,077.61
  4. Step 4: Simplify right side
    13,456.31x = 149,982,879.03
  5. Step 5: Solve for x
    x = 149,982,879.03/13,456.31
  6. Step 6: Final answer
    x = 11,145.91

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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.