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Finding the Fourth Proportional to 12,049.68, 18,045.18 and 8,341.50

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Solution

The fourth proportional to 12,049.68, 18,045.18 and 8,341.50 is: 12,491.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,049.68 : 18,045.18 = 8,341.50 : x
  2. Step 2: Convert to fraction form
    12,049.68/18,045.18 = 8,341.50/x
  3. Step 3: Cross multiply
    12,049.68x = 18,045.18 × 8,341.50
  4. Step 4: Simplify right side
    12,049.68x = 150,523,868.97
  5. Step 5: Solve for x
    x = 150,523,868.97/12,049.68
  6. Step 6: Final answer
    x = 12,491.94

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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.