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Finding the Fourth Proportional to 16,443.84, 24,645.60 and 8,117.76

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Solution

The fourth proportional to 16,443.84, 24,645.60 and 8,117.76 is: 12,166.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,443.84 : 24,645.60 = 8,117.76 : x
  2. Step 2: Convert to fraction form
    16,443.84/24,645.60 = 8,117.76/x
  3. Step 3: Cross multiply
    16,443.84x = 24,645.60 × 8,117.76
  4. Step 4: Simplify right side
    16,443.84x = 200,067,065.86
  5. Step 5: Solve for x
    x = 200,067,065.86/16,443.84
  6. Step 6: Final answer
    x = 12,166.69

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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.