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Finding the Fourth Proportional to 25,571.80, 38,308.56 and 15,682.24

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Solution

The fourth proportional to 25,571.80, 38,308.56 and 15,682.24 is: 23,493.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,571.80 : 38,308.56 = 15,682.24 : x
  2. Step 2: Convert to fraction form
    25,571.80/38,308.56 = 15,682.24/x
  3. Step 3: Cross multiply
    25,571.80x = 38,308.56 × 15,682.24
  4. Step 4: Simplify right side
    25,571.80x = 600,764,031.97
  5. Step 5: Solve for x
    x = 600,764,031.97/25,571.80
  6. Step 6: Final answer
    x = 23,493.22

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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.