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Finding the Fourth Proportional to 24,769.42, 34,182.03 and 13,438.90

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Solution

The fourth proportional to 24,769.42, 34,182.03 and 13,438.90 is: 18,545.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,769.42 : 34,182.03 = 13,438.90 : x
  2. Step 2: Convert to fraction form
    24,769.42/34,182.03 = 13,438.90/x
  3. Step 3: Cross multiply
    24,769.42x = 34,182.03 × 13,438.90
  4. Step 4: Simplify right side
    24,769.42x = 459,368,882.97
  5. Step 5: Solve for x
    x = 459,368,882.97/24,769.42
  6. Step 6: Final answer
    x = 18,545.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.