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Finding the Fourth Proportional to 34,152.80, 51,198.17 and 11,954.06

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Solution

The fourth proportional to 34,152.80, 51,198.17 and 11,954.06 is: 17,920.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,152.80 : 51,198.17 = 11,954.06 : x
  2. Step 2: Convert to fraction form
    34,152.80/51,198.17 = 11,954.06/x
  3. Step 3: Cross multiply
    34,152.80x = 51,198.17 × 11,954.06
  4. Step 4: Simplify right side
    34,152.80x = 612,025,680.31
  5. Step 5: Solve for x
    x = 612,025,680.31/34,152.80
  6. Step 6: Final answer
    x = 17,920.22

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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.