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Finding the Fourth Proportional to 16,286.22, 24,412.82 and 6,432.44

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Solution

The fourth proportional to 16,286.22, 24,412.82 and 6,432.44 is: 9,642.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,286.22 : 24,412.82 = 6,432.44 : x
  2. Step 2: Convert to fraction form
    16,286.22/24,412.82 = 6,432.44/x
  3. Step 3: Cross multiply
    16,286.22x = 24,412.82 × 6,432.44
  4. Step 4: Simplify right side
    16,286.22x = 157,033,999.88
  5. Step 5: Solve for x
    x = 157,033,999.88/16,286.22
  6. Step 6: Final answer
    x = 9,642.14

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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.