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Finding the Fourth Proportional to 25,720, 38,562.72 and 20,708.80

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Solution

The fourth proportional to 25,720, 38,562.72 and 20,708.80 is: 31,049.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,720 : 38,562.72 = 20,708.80 : x
  2. Step 2: Convert to fraction form
    25,720/38,562.72 = 20,708.80/x
  3. Step 3: Cross multiply
    25,720x = 38,562.72 × 20,708.80
  4. Step 4: Simplify right side
    25,720x = 798,587,655.94
  5. Step 5: Solve for x
    x = 798,587,655.94/25,720
  6. Step 6: Final answer
    x = 31,049.29

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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.