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Finding the Fourth Proportional to 25,762.20, 38,687.36 and 15,825.20

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Solution

The fourth proportional to 25,762.20, 38,687.36 and 15,825.20 is: 23,764.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,762.20 : 38,687.36 = 15,825.20 : x
  2. Step 2: Convert to fraction form
    25,762.20/38,687.36 = 15,825.20/x
  3. Step 3: Cross multiply
    25,762.20x = 38,687.36 × 15,825.20
  4. Step 4: Simplify right side
    25,762.20x = 612,235,209.47
  5. Step 5: Solve for x
    x = 612,235,209.47/25,762.20
  6. Step 6: Final answer
    x = 23,764.87

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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.