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Finding the Fourth Proportional to 14,049.74, 19,387.19 and 8,080.25

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Solution

The fourth proportional to 14,049.74, 19,387.19 and 8,080.25 is: 11,149.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,049.74 : 19,387.19 = 8,080.25 : x
  2. Step 2: Convert to fraction form
    14,049.74/19,387.19 = 8,080.25/x
  3. Step 3: Cross multiply
    14,049.74x = 19,387.19 × 8,080.25
  4. Step 4: Simplify right side
    14,049.74x = 156,653,204.66
  5. Step 5: Solve for x
    x = 156,653,204.66/14,049.74
  6. Step 6: Final answer
    x = 11,149.90

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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.