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Finding the Fourth Proportional to 13,397.96, 20,092.30 and 5,498.23

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Solution

The fourth proportional to 13,397.96, 20,092.30 and 5,498.23 is: 8,245.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,397.96 : 20,092.30 = 5,498.23 : x
  2. Step 2: Convert to fraction form
    13,397.96/20,092.30 = 5,498.23/x
  3. Step 3: Cross multiply
    13,397.96x = 20,092.30 × 5,498.23
  4. Step 4: Simplify right side
    13,397.96x = 110,472,091.25
  5. Step 5: Solve for x
    x = 110,472,091.25/13,397.96
  6. Step 6: Final answer
    x = 8,245.44

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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.