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Finding the Fourth Proportional to 24,418.87, 36,633.20 and 10,378.78

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Solution

The fourth proportional to 24,418.87, 36,633.20 and 10,378.78 is: 15,570.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,418.87 : 36,633.20 = 10,378.78 : x
  2. Step 2: Convert to fraction form
    24,418.87/36,633.20 = 10,378.78/x
  3. Step 3: Cross multiply
    24,418.87x = 36,633.20 × 10,378.78
  4. Step 4: Simplify right side
    24,418.87x = 380,207,923.50
  5. Step 5: Solve for x
    x = 380,207,923.50/24,418.87
  6. Step 6: Final answer
    x = 15,570.25

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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.