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Finding the Fourth Proportional to 13,221.65, 19,832.48 and 4,456.58

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Solution

The fourth proportional to 13,221.65, 19,832.48 and 4,456.58 is: 6,684.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,221.65 : 19,832.48 = 4,456.58 : x
  2. Step 2: Convert to fraction form
    13,221.65/19,832.48 = 4,456.58/x
  3. Step 3: Cross multiply
    13,221.65x = 19,832.48 × 4,456.58
  4. Step 4: Simplify right side
    13,221.65x = 88,384,912.27
  5. Step 5: Solve for x
    x = 88,384,912.27/13,221.65
  6. Step 6: Final answer
    x = 6,684.87

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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.