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Finding the Fourth Proportional to 24,450.24, 36,674.88 and 5,982.24

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Solution

The fourth proportional to 24,450.24, 36,674.88 and 5,982.24 is: 8,973.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,450.24 : 36,674.88 = 5,982.24 : x
  2. Step 2: Convert to fraction form
    24,450.24/36,674.88 = 5,982.24/x
  3. Step 3: Cross multiply
    24,450.24x = 36,674.88 × 5,982.24
  4. Step 4: Simplify right side
    24,450.24x = 219,397,934.13
  5. Step 5: Solve for x
    x = 219,397,934.13/24,450.24
  6. Step 6: Final answer
    x = 8,973.24

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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.