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Finding the Fourth Proportional to 13,391.47, 20,083.14 and 4,029

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Solution

The fourth proportional to 13,391.47, 20,083.14 and 4,029 is: 6,042.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,391.47 : 20,083.14 = 4,029 : x
  2. Step 2: Convert to fraction form
    13,391.47/20,083.14 = 4,029/x
  3. Step 3: Cross multiply
    13,391.47x = 20,083.14 × 4,029
  4. Step 4: Simplify right side
    13,391.47x = 80,914,971.06
  5. Step 5: Solve for x
    x = 80,914,971.06/13,391.47
  6. Step 6: Final answer
    x = 6,042.28

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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.