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Finding the Fourth Proportional to 13,761.33, 18,987.85 and 8,380.16

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Solution

The fourth proportional to 13,761.33, 18,987.85 and 8,380.16 is: 11,562.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,761.33 : 18,987.85 = 8,380.16 : x
  2. Step 2: Convert to fraction form
    13,761.33/18,987.85 = 8,380.16/x
  3. Step 3: Cross multiply
    13,761.33x = 18,987.85 × 8,380.16
  4. Step 4: Simplify right side
    13,761.33x = 159,121,207.80
  5. Step 5: Solve for x
    x = 159,121,207.80/13,761.33
  6. Step 6: Final answer
    x = 11,562.93

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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.