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Finding the Fourth Proportional to 24,534.20, 36,806.73 and 8,951.78

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Solution

The fourth proportional to 24,534.20, 36,806.73 and 8,951.78 is: 13,429.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,534.20 : 36,806.73 = 8,951.78 : x
  2. Step 2: Convert to fraction form
    24,534.20/36,806.73 = 8,951.78/x
  3. Step 3: Cross multiply
    24,534.20x = 36,806.73 × 8,951.78
  4. Step 4: Simplify right side
    24,534.20x = 329,485,749.48
  5. Step 5: Solve for x
    x = 329,485,749.48/24,534.20
  6. Step 6: Final answer
    x = 13,429.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.