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Finding the Fourth Proportional to 24,084.26, 36,117.04 and 8,286.30

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Solution

The fourth proportional to 24,084.26, 36,117.04 and 8,286.30 is: 12,426.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,084.26 : 36,117.04 = 8,286.30 : x
  2. Step 2: Convert to fraction form
    24,084.26/36,117.04 = 8,286.30/x
  3. Step 3: Cross multiply
    24,084.26x = 36,117.04 × 8,286.30
  4. Step 4: Simplify right side
    24,084.26x = 299,276,628.55
  5. Step 5: Solve for x
    x = 299,276,628.55/24,084.26
  6. Step 6: Final answer
    x = 12,426.23

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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.