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Finding the Fourth Proportional to 16,221.32, 24,338.34 and 6,358.91

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Solution

The fourth proportional to 16,221.32, 24,338.34 and 6,358.91 is: 9,540.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,221.32 : 24,338.34 = 6,358.91 : x
  2. Step 2: Convert to fraction form
    16,221.32/24,338.34 = 6,358.91/x
  3. Step 3: Cross multiply
    16,221.32x = 24,338.34 × 6,358.91
  4. Step 4: Simplify right side
    16,221.32x = 154,765,313.61
  5. Step 5: Solve for x
    x = 154,765,313.61/16,221.32
  6. Step 6: Final answer
    x = 9,540.86

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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.