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Finding the Fourth Proportional to 25,469.64, 38,219.33 and 10,677.42

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Solution

The fourth proportional to 25,469.64, 38,219.33 and 10,677.42 is: 16,022.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,469.64 : 38,219.33 = 10,677.42 : x
  2. Step 2: Convert to fraction form
    25,469.64/38,219.33 = 10,677.42/x
  3. Step 3: Cross multiply
    25,469.64x = 38,219.33 × 10,677.42
  4. Step 4: Simplify right side
    25,469.64x = 408,083,838.53
  5. Step 5: Solve for x
    x = 408,083,838.53/25,469.64
  6. Step 6: Final answer
    x = 16,022.36

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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.