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Finding the Fourth Proportional to 16,443.71, 24,634.47 and 8,113.97

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Solution

The fourth proportional to 16,443.71, 24,634.47 and 8,113.97 is: 12,155.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,443.71 : 24,634.47 = 8,113.97 : x
  2. Step 2: Convert to fraction form
    16,443.71/24,634.47 = 8,113.97/x
  3. Step 3: Cross multiply
    16,443.71x = 24,634.47 × 8,113.97
  4. Step 4: Simplify right side
    16,443.71x = 199,883,227.37
  5. Step 5: Solve for x
    x = 199,883,227.37/16,443.71
  6. Step 6: Final answer
    x = 12,155.61

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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.