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Finding the Fourth Proportional to 13,398.39, 20,110.14 and 6,829.29

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Solution

The fourth proportional to 13,398.39, 20,110.14 and 6,829.29 is: 10,250.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,398.39 : 20,110.14 = 6,829.29 : x
  2. Step 2: Convert to fraction form
    13,398.39/20,110.14 = 6,829.29/x
  3. Step 3: Cross multiply
    13,398.39x = 20,110.14 × 6,829.29
  4. Step 4: Simplify right side
    13,398.39x = 137,337,978.00
  5. Step 5: Solve for x
    x = 137,337,978.00/13,398.39
  6. Step 6: Final answer
    x = 10,250.33

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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.