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Finding the Fourth Proportional to 25,645.80, 38,468.70 and 20,116.20

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Solution

The fourth proportional to 25,645.80, 38,468.70 and 20,116.20 is: 30,174.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,645.80 : 38,468.70 = 20,116.20 : x
  2. Step 2: Convert to fraction form
    25,645.80/38,468.70 = 20,116.20/x
  3. Step 3: Cross multiply
    25,645.80x = 38,468.70 × 20,116.20
  4. Step 4: Simplify right side
    25,645.80x = 773,844,062.94
  5. Step 5: Solve for x
    x = 773,844,062.94/25,645.80
  6. Step 6: Final answer
    x = 30,174.30

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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.