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Finding the Fourth Proportional to 24,112.50, 36,179.08 and 12,433.92

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Solution

The fourth proportional to 24,112.50, 36,179.08 and 12,433.92 is: 18,656.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,112.50 : 36,179.08 = 12,433.92 : x
  2. Step 2: Convert to fraction form
    24,112.50/36,179.08 = 12,433.92/x
  3. Step 3: Cross multiply
    24,112.50x = 36,179.08 × 12,433.92
  4. Step 4: Simplify right side
    24,112.50x = 449,847,619.64
  5. Step 5: Solve for x
    x = 449,847,619.64/24,112.50
  6. Step 6: Final answer
    x = 18,656.20

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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.