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Finding the Fourth Proportional to 24,494.44, 36,744.10 and 7,850.30

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Solution

The fourth proportional to 24,494.44, 36,744.10 and 7,850.30 is: 11,776.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,494.44 : 36,744.10 = 7,850.30 : x
  2. Step 2: Convert to fraction form
    24,494.44/36,744.10 = 7,850.30/x
  3. Step 3: Cross multiply
    24,494.44x = 36,744.10 × 7,850.30
  4. Step 4: Simplify right side
    24,494.44x = 288,452,208.23
  5. Step 5: Solve for x
    x = 288,452,208.23/24,494.44
  6. Step 6: Final answer
    x = 11,776.23

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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.