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Finding the Fourth Proportional to 15,171.75, 22,741.99 and 5,809.21

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Solution

The fourth proportional to 15,171.75, 22,741.99 and 5,809.21 is: 8,707.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,171.75 : 22,741.99 = 5,809.21 : x
  2. Step 2: Convert to fraction form
    15,171.75/22,741.99 = 5,809.21/x
  3. Step 3: Cross multiply
    15,171.75x = 22,741.99 × 5,809.21
  4. Step 4: Simplify right side
    15,171.75x = 132,112,995.73
  5. Step 5: Solve for x
    x = 132,112,995.73/15,171.75
  6. Step 6: Final answer
    x = 8,707.83

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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.