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Finding the Fourth Proportional to 11,429.26, 17,144.26 and 3,932.74

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Solution

The fourth proportional to 11,429.26, 17,144.26 and 3,932.74 is: 5,899.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,429.26 : 17,144.26 = 3,932.74 : x
  2. Step 2: Convert to fraction form
    11,429.26/17,144.26 = 3,932.74/x
  3. Step 3: Cross multiply
    11,429.26x = 17,144.26 × 3,932.74
  4. Step 4: Simplify right side
    11,429.26x = 67,423,917.07
  5. Step 5: Solve for x
    x = 67,423,917.07/11,429.26
  6. Step 6: Final answer
    x = 5,899.24

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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.