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Finding the Fourth Proportional to 24,949.36, 37,423.68 and 7,180.44

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Solution

The fourth proportional to 24,949.36, 37,423.68 and 7,180.44 is: 10,770.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,949.36 : 37,423.68 = 7,180.44 : x
  2. Step 2: Convert to fraction form
    24,949.36/37,423.68 = 7,180.44/x
  3. Step 3: Cross multiply
    24,949.36x = 37,423.68 × 7,180.44
  4. Step 4: Simplify right side
    24,949.36x = 268,718,488.82
  5. Step 5: Solve for x
    x = 268,718,488.82/24,949.36
  6. Step 6: Final answer
    x = 10,770.56

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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.