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Finding the Fourth Proportional to 13,221.90, 19,832.84 and 4,456.82

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Solution

The fourth proportional to 13,221.90, 19,832.84 and 4,456.82 is: 6,685.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,221.90 : 19,832.84 = 4,456.82 : x
  2. Step 2: Convert to fraction form
    13,221.90/19,832.84 = 4,456.82/x
  3. Step 3: Cross multiply
    13,221.90x = 19,832.84 × 4,456.82
  4. Step 4: Simplify right side
    13,221.90x = 88,391,397.97
  5. Step 5: Solve for x
    x = 88,391,397.97/13,221.90
  6. Step 6: Final answer
    x = 6,685.23

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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.