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Finding the Fourth Proportional to 24,443.60, 36,649.20 and 8,859.20

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Solution

The fourth proportional to 24,443.60, 36,649.20 and 8,859.20 is: 13,282.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,443.60 : 36,649.20 = 8,859.20 : x
  2. Step 2: Convert to fraction form
    24,443.60/36,649.20 = 8,859.20/x
  3. Step 3: Cross multiply
    24,443.60x = 36,649.20 × 8,859.20
  4. Step 4: Simplify right side
    24,443.60x = 324,682,592.64
  5. Step 5: Solve for x
    x = 324,682,592.64/24,443.60
  6. Step 6: Final answer
    x = 13,282.93

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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.