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Finding the Fourth Proportional to 24,227.40, 36,334.86 and 8,642.76

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Solution

The fourth proportional to 24,227.40, 36,334.86 and 8,642.76 is: 12,961.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,227.40 : 36,334.86 = 8,642.76 : x
  2. Step 2: Convert to fraction form
    24,227.40/36,334.86 = 8,642.76/x
  3. Step 3: Cross multiply
    24,227.40x = 36,334.86 × 8,642.76
  4. Step 4: Simplify right side
    24,227.40x = 314,033,474.61
  5. Step 5: Solve for x
    x = 314,033,474.61/24,227.40
  6. Step 6: Final answer
    x = 12,961.91

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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.