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Finding the Fourth Proportional to 24,227.26, 36,362.81 and 10,197.65

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Solution

The fourth proportional to 24,227.26, 36,362.81 and 10,197.65 is: 15,305.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,227.26 : 36,362.81 = 10,197.65 : x
  2. Step 2: Convert to fraction form
    24,227.26/36,362.81 = 10,197.65/x
  3. Step 3: Cross multiply
    24,227.26x = 36,362.81 × 10,197.65
  4. Step 4: Simplify right side
    24,227.26x = 370,815,209.40
  5. Step 5: Solve for x
    x = 370,815,209.40/24,227.26
  6. Step 6: Final answer
    x = 15,305.70

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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.