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Finding the Fourth Proportional to 19,726.38, 29,604.72 and 8,049.42

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Solution

The fourth proportional to 19,726.38, 29,604.72 and 8,049.42 is: 12,080.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,726.38 : 29,604.72 = 8,049.42 : x
  2. Step 2: Convert to fraction form
    19,726.38/29,604.72 = 8,049.42/x
  3. Step 3: Cross multiply
    19,726.38x = 29,604.72 × 8,049.42
  4. Step 4: Simplify right side
    19,726.38x = 238,300,825.26
  5. Step 5: Solve for x
    x = 238,300,825.26/19,726.38
  6. Step 6: Final answer
    x = 12,080.31

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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.