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Finding the Fourth Proportional to 34,141.24, 51,211.62 and 9,517.24

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Solution

The fourth proportional to 34,141.24, 51,211.62 and 9,517.24 is: 14,275.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,141.24 : 51,211.62 = 9,517.24 : x
  2. Step 2: Convert to fraction form
    34,141.24/51,211.62 = 9,517.24/x
  3. Step 3: Cross multiply
    34,141.24x = 51,211.62 × 9,517.24
  4. Step 4: Simplify right side
    34,141.24x = 487,393,278.33
  5. Step 5: Solve for x
    x = 487,393,278.33/34,141.24
  6. Step 6: Final answer
    x = 14,275.79

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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.