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Finding the Fourth Proportional to 13,879.14, 20,825.54 and 6,482.52

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Solution

The fourth proportional to 13,879.14, 20,825.54 and 6,482.52 is: 9,726.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,879.14 : 20,825.54 = 6,482.52 : x
  2. Step 2: Convert to fraction form
    13,879.14/20,825.54 = 6,482.52/x
  3. Step 3: Cross multiply
    13,879.14x = 20,825.54 × 6,482.52
  4. Step 4: Simplify right side
    13,879.14x = 135,001,947.15
  5. Step 5: Solve for x
    x = 135,001,947.15/13,879.14
  6. Step 6: Final answer
    x = 9,726.97

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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.