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Finding the Fourth Proportional to 13,251.76, 19,866.12 and 5,049.52

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Solution

The fourth proportional to 13,251.76, 19,866.12 and 5,049.52 is: 7,569.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,251.76 : 19,866.12 = 5,049.52 : x
  2. Step 2: Convert to fraction form
    13,251.76/19,866.12 = 5,049.52/x
  3. Step 3: Cross multiply
    13,251.76x = 19,866.12 × 5,049.52
  4. Step 4: Simplify right side
    13,251.76x = 100,314,370.26
  5. Step 5: Solve for x
    x = 100,314,370.26/13,251.76
  6. Step 6: Final answer
    x = 7,569.89

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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.