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Finding the Fourth Proportional to 24,033.76, 36,033.66 and 9,230.20

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Solution

The fourth proportional to 24,033.76, 36,033.66 and 9,230.20 is: 13,838.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,033.76 : 36,033.66 = 9,230.20 : x
  2. Step 2: Convert to fraction form
    24,033.76/36,033.66 = 9,230.20/x
  3. Step 3: Cross multiply
    24,033.76x = 36,033.66 × 9,230.20
  4. Step 4: Simplify right side
    24,033.76x = 332,597,888.53
  5. Step 5: Solve for x
    x = 332,597,888.53/24,033.76
  6. Step 6: Final answer
    x = 13,838.78

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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.