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Finding the Fourth Proportional to 20,726.91, 31,090.08 and 5,144.55

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Solution

The fourth proportional to 20,726.91, 31,090.08 and 5,144.55 is: 7,716.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,726.91 : 31,090.08 = 5,144.55 : x
  2. Step 2: Convert to fraction form
    20,726.91/31,090.08 = 5,144.55/x
  3. Step 3: Cross multiply
    20,726.91x = 31,090.08 × 5,144.55
  4. Step 4: Simplify right side
    20,726.91x = 159,944,471.06
  5. Step 5: Solve for x
    x = 159,944,471.06/20,726.91
  6. Step 6: Final answer
    x = 7,716.75

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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.