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Finding the Fourth Proportional to 23,841.27, 35,761.74 and 5,829.27

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Solution

The fourth proportional to 23,841.27, 35,761.74 and 5,829.27 is: 8,743.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,841.27 : 35,761.74 = 5,829.27 : x
  2. Step 2: Convert to fraction form
    23,841.27/35,761.74 = 5,829.27/x
  3. Step 3: Cross multiply
    23,841.27x = 35,761.74 × 5,829.27
  4. Step 4: Simplify right side
    23,841.27x = 208,464,838.13
  5. Step 5: Solve for x
    x = 208,464,838.13/23,841.27
  6. Step 6: Final answer
    x = 8,743.86

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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.