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Finding the Fourth Proportional to 16,338.22, 24,467.85 and 9,296.90

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Solution

The fourth proportional to 16,338.22, 24,467.85 and 9,296.90 is: 13,922.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,338.22 : 24,467.85 = 9,296.90 : x
  2. Step 2: Convert to fraction form
    16,338.22/24,467.85 = 9,296.90/x
  3. Step 3: Cross multiply
    16,338.22x = 24,467.85 × 9,296.90
  4. Step 4: Simplify right side
    16,338.22x = 227,475,154.67
  5. Step 5: Solve for x
    x = 227,475,154.67/16,338.22
  6. Step 6: Final answer
    x = 13,922.88

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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.