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Finding the Fourth Proportional to 12,344.74, 18,517.02 and 4,949.10

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Solution

The fourth proportional to 12,344.74, 18,517.02 and 4,949.10 is: 7,423.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,344.74 : 18,517.02 = 4,949.10 : x
  2. Step 2: Convert to fraction form
    12,344.74/18,517.02 = 4,949.10/x
  3. Step 3: Cross multiply
    12,344.74x = 18,517.02 × 4,949.10
  4. Step 4: Simplify right side
    12,344.74x = 91,642,592.96
  5. Step 5: Solve for x
    x = 91,642,592.96/12,344.74
  6. Step 6: Final answer
    x = 7,423.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.