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Finding the Fourth Proportional to 24,263.28, 36,399.78 and 7,627.50

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Solution

The fourth proportional to 24,263.28, 36,399.78 and 7,627.50 is: 11,442.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,263.28 : 36,399.78 = 7,627.50 : x
  2. Step 2: Convert to fraction form
    24,263.28/36,399.78 = 7,627.50/x
  3. Step 3: Cross multiply
    24,263.28x = 36,399.78 × 7,627.50
  4. Step 4: Simplify right side
    24,263.28x = 277,639,321.95
  5. Step 5: Solve for x
    x = 277,639,321.95/24,263.28
  6. Step 6: Final answer
    x = 11,442.78

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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.