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Finding the Fourth Proportional to 24,033.24, 36,064.48 and 9,243.44

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Solution

The fourth proportional to 24,033.24, 36,064.48 and 9,243.44 is: 13,870.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,033.24 : 36,064.48 = 9,243.44 : x
  2. Step 2: Convert to fraction form
    24,033.24/36,064.48 = 9,243.44/x
  3. Step 3: Cross multiply
    24,033.24x = 36,064.48 × 9,243.44
  4. Step 4: Simplify right side
    24,033.24x = 333,359,857.01
  5. Step 5: Solve for x
    x = 333,359,857.01/24,033.24
  6. Step 6: Final answer
    x = 13,870.78

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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.