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Finding the Fourth Proportional to 25,414.42, 38,121.63 and 12,292.42

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Solution

The fourth proportional to 25,414.42, 38,121.63 and 12,292.42 is: 18,438.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,414.42 : 38,121.63 = 12,292.42 : x
  2. Step 2: Convert to fraction form
    25,414.42/38,121.63 = 12,292.42/x
  3. Step 3: Cross multiply
    25,414.42x = 38,121.63 × 12,292.42
  4. Step 4: Simplify right side
    25,414.42x = 468,607,087.04
  5. Step 5: Solve for x
    x = 468,607,087.04/25,414.42
  6. Step 6: Final answer
    x = 18,438.63

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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.