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Finding the Fourth Proportional to 25,644.86, 38,471.97 and 11,793.50

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Solution

The fourth proportional to 25,644.86, 38,471.97 and 11,793.50 is: 17,692.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,644.86 : 38,471.97 = 11,793.50 : x
  2. Step 2: Convert to fraction form
    25,644.86/38,471.97 = 11,793.50/x
  3. Step 3: Cross multiply
    25,644.86x = 38,471.97 × 11,793.50
  4. Step 4: Simplify right side
    25,644.86x = 453,719,178.20
  5. Step 5: Solve for x
    x = 453,719,178.20/25,644.86
  6. Step 6: Final answer
    x = 17,692.40

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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.