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Finding the Fourth Proportional to 34,339.40, 51,514.92 and 11,843.97

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Solution

The fourth proportional to 34,339.40, 51,514.92 and 11,843.97 is: 17,767.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,339.40 : 51,514.92 = 11,843.97 : x
  2. Step 2: Convert to fraction form
    34,339.40/51,514.92 = 11,843.97/x
  3. Step 3: Cross multiply
    34,339.40x = 51,514.92 × 11,843.97
  4. Step 4: Simplify right side
    34,339.40x = 610,141,107.81
  5. Step 5: Solve for x
    x = 610,141,107.81/34,339.40
  6. Step 6: Final answer
    x = 17,767.96

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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.