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Finding the Fourth Proportional to 12,391.31, 17,114.20 and 8,161.29

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Solution

The fourth proportional to 12,391.31, 17,114.20 and 8,161.29 is: 11,271.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,391.31 : 17,114.20 = 8,161.29 : x
  2. Step 2: Convert to fraction form
    12,391.31/17,114.20 = 8,161.29/x
  3. Step 3: Cross multiply
    12,391.31x = 17,114.20 × 8,161.29
  4. Step 4: Simplify right side
    12,391.31x = 139,673,949.32
  5. Step 5: Solve for x
    x = 139,673,949.32/12,391.31
  6. Step 6: Final answer
    x = 11,271.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.