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Finding the Fourth Proportional to 19,049.19, 28,578.34 and 7,949.70

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Solution

The fourth proportional to 19,049.19, 28,578.34 and 7,949.70 is: 11,926.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,049.19 : 28,578.34 = 7,949.70 : x
  2. Step 2: Convert to fraction form
    19,049.19/28,578.34 = 7,949.70/x
  3. Step 3: Cross multiply
    19,049.19x = 28,578.34 × 7,949.70
  4. Step 4: Simplify right side
    19,049.19x = 227,189,229.50
  5. Step 5: Solve for x
    x = 227,189,229.50/19,049.19
  6. Step 6: Final answer
    x = 11,926.45

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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.