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Finding the Fourth Proportional to 25,942.87, 38,919.39 and 9,298.45

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Solution

The fourth proportional to 25,942.87, 38,919.39 and 9,298.45 is: 13,949.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,942.87 : 38,919.39 = 9,298.45 : x
  2. Step 2: Convert to fraction form
    25,942.87/38,919.39 = 9,298.45/x
  3. Step 3: Cross multiply
    25,942.87x = 38,919.39 × 9,298.45
  4. Step 4: Simplify right side
    25,942.87x = 361,890,001.95
  5. Step 5: Solve for x
    x = 361,890,001.95/25,942.87
  6. Step 6: Final answer
    x = 13,949.50

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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.