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Finding the Fourth Proportional to 25,737, 38,604.36 and 9,949.56

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Solution

The fourth proportional to 25,737, 38,604.36 and 9,949.56 is: 14,923.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,737 : 38,604.36 = 9,949.56 : x
  2. Step 2: Convert to fraction form
    25,737/38,604.36 = 9,949.56/x
  3. Step 3: Cross multiply
    25,737x = 38,604.36 × 9,949.56
  4. Step 4: Simplify right side
    25,737x = 384,096,396.08
  5. Step 5: Solve for x
    x = 384,096,396.08/25,737
  6. Step 6: Final answer
    x = 14,923.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.