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Finding the Fourth Proportional to 24,101.38, 36,138.84 and 7,456.78

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Solution

The fourth proportional to 24,101.38, 36,138.84 and 7,456.78 is: 11,181.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,101.38 : 36,138.84 = 7,456.78 : x
  2. Step 2: Convert to fraction form
    24,101.38/36,138.84 = 7,456.78/x
  3. Step 3: Cross multiply
    24,101.38x = 36,138.84 × 7,456.78
  4. Step 4: Simplify right side
    24,101.38x = 269,479,379.34
  5. Step 5: Solve for x
    x = 269,479,379.34/24,101.38
  6. Step 6: Final answer
    x = 11,181.08

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1.5x scale

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.