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Finding the Fourth Proportional to 24,908.28, 34,373.03 and 13,578.23

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Solution

The fourth proportional to 24,908.28, 34,373.03 and 13,578.23 is: 18,737.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,908.28 : 34,373.03 = 13,578.23 : x
  2. Step 2: Convert to fraction form
    24,908.28/34,373.03 = 13,578.23/x
  3. Step 3: Cross multiply
    24,908.28x = 34,373.03 × 13,578.23
  4. Step 4: Simplify right side
    24,908.28x = 466,724,667.38
  5. Step 5: Solve for x
    x = 466,724,667.38/24,908.28
  6. Step 6: Final answer
    x = 18,737.73

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Why These Related Problems?

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