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Finding the Fourth Proportional to 25,595.38, 38,387.94 and 7,822.90

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Solution

The fourth proportional to 25,595.38, 38,387.94 and 7,822.90 is: 11,732.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,595.38 : 38,387.94 = 7,822.90 : x
  2. Step 2: Convert to fraction form
    25,595.38/38,387.94 = 7,822.90/x
  3. Step 3: Cross multiply
    25,595.38x = 38,387.94 × 7,822.90
  4. Step 4: Simplify right side
    25,595.38x = 300,305,015.83
  5. Step 5: Solve for x
    x = 300,305,015.83/25,595.38
  6. Step 6: Final answer
    x = 11,732.78

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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.