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Finding the Fourth Proportional to 23,862.26, 35,778.68 and 8,065.79

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Solution

The fourth proportional to 23,862.26, 35,778.68 and 8,065.79 is: 12,093.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,862.26 : 35,778.68 = 8,065.79 : x
  2. Step 2: Convert to fraction form
    23,862.26/35,778.68 = 8,065.79/x
  3. Step 3: Cross multiply
    23,862.26x = 35,778.68 × 8,065.79
  4. Step 4: Simplify right side
    23,862.26x = 288,583,368.47
  5. Step 5: Solve for x
    x = 288,583,368.47/23,862.26
  6. Step 6: Final answer
    x = 12,093.72

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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.