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Finding the Fourth Proportional to 20,726.57, 31,089.86 and 5,144.19

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Solution

The fourth proportional to 20,726.57, 31,089.86 and 5,144.19 is: 7,716.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,726.57 : 31,089.86 = 5,144.19 : x
  2. Step 2: Convert to fraction form
    20,726.57/31,089.86 = 5,144.19/x
  3. Step 3: Cross multiply
    20,726.57x = 31,089.86 × 5,144.19
  4. Step 4: Simplify right side
    20,726.57x = 159,932,121.19
  5. Step 5: Solve for x
    x = 159,932,121.19/20,726.57
  6. Step 6: Final answer
    x = 7,716.29

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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.