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Finding the Fourth Proportional to 24,015.50, 36,023.45 and 8,433.13

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Solution

The fourth proportional to 24,015.50, 36,023.45 and 8,433.13 is: 12,649.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,015.50 : 36,023.45 = 8,433.13 : x
  2. Step 2: Convert to fraction form
    24,015.50/36,023.45 = 8,433.13/x
  3. Step 3: Cross multiply
    24,015.50x = 36,023.45 × 8,433.13
  4. Step 4: Simplify right side
    24,015.50x = 303,790,277.86
  5. Step 5: Solve for x
    x = 303,790,277.86/24,015.50
  6. Step 6: Final answer
    x = 12,649.76

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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.