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Finding the Fourth Proportional to 12,125.85, 18,149.31 and 6,780.21

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Solution

The fourth proportional to 12,125.85, 18,149.31 and 6,780.21 is: 10,148.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,125.85 : 18,149.31 = 6,780.21 : x
  2. Step 2: Convert to fraction form
    12,125.85/18,149.31 = 6,780.21/x
  3. Step 3: Cross multiply
    12,125.85x = 18,149.31 × 6,780.21
  4. Step 4: Simplify right side
    12,125.85x = 123,056,133.16
  5. Step 5: Solve for x
    x = 123,056,133.16/12,125.85
  6. Step 6: Final answer
    x = 10,148.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.