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Finding the Fourth Proportional to 16,443, 24,665.72 and 5,348.84

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Solution

The fourth proportional to 16,443, 24,665.72 and 5,348.84 is: 8,023.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,443 : 24,665.72 = 5,348.84 : x
  2. Step 2: Convert to fraction form
    16,443/24,665.72 = 5,348.84/x
  3. Step 3: Cross multiply
    16,443x = 24,665.72 × 5,348.84
  4. Step 4: Simplify right side
    16,443x = 131,932,839.69
  5. Step 5: Solve for x
    x = 131,932,839.69/16,443
  6. Step 6: Final answer
    x = 8,023.65

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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.