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Finding the Fourth Proportional to 24,252.26, 36,378.40 and 7,836.26

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Solution

The fourth proportional to 24,252.26, 36,378.40 and 7,836.26 is: 11,754.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,252.26 : 36,378.40 = 7,836.26 : x
  2. Step 2: Convert to fraction form
    24,252.26/36,378.40 = 7,836.26/x
  3. Step 3: Cross multiply
    24,252.26x = 36,378.40 × 7,836.26
  4. Step 4: Simplify right side
    24,252.26x = 285,070,600.78
  5. Step 5: Solve for x
    x = 285,070,600.78/24,252.26
  6. Step 6: Final answer
    x = 11,754.39

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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.