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Finding the Fourth Proportional to 17,159.48, 25,743.22 and 5,471.80

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Solution

The fourth proportional to 17,159.48, 25,743.22 and 5,471.80 is: 8,208.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,159.48 : 25,743.22 = 5,471.80 : x
  2. Step 2: Convert to fraction form
    17,159.48/25,743.22 = 5,471.80/x
  3. Step 3: Cross multiply
    17,159.48x = 25,743.22 × 5,471.80
  4. Step 4: Simplify right side
    17,159.48x = 140,861,751.20
  5. Step 5: Solve for x
    x = 140,861,751.20/17,159.48
  6. Step 6: Final answer
    x = 8,208.98

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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.