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Finding the Fourth Proportional to 13,165.20, 19,753.20 and 4,849.20

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Solution

The fourth proportional to 13,165.20, 19,753.20 and 4,849.20 is: 7,275.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,165.20 : 19,753.20 = 4,849.20 : x
  2. Step 2: Convert to fraction form
    13,165.20/19,753.20 = 4,849.20/x
  3. Step 3: Cross multiply
    13,165.20x = 19,753.20 × 4,849.20
  4. Step 4: Simplify right side
    13,165.20x = 95,787,217.44
  5. Step 5: Solve for x
    x = 95,787,217.44/13,165.20
  6. Step 6: Final answer
    x = 7,275.79

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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.