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Finding the Fourth Proportional to 17,234.80, 25,849 and 4,753.20

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Solution

The fourth proportional to 17,234.80, 25,849 and 4,753.20 is: 7,128.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,234.80 : 25,849 = 4,753.20 : x
  2. Step 2: Convert to fraction form
    17,234.80/25,849 = 4,753.20/x
  3. Step 3: Cross multiply
    17,234.80x = 25,849 × 4,753.20
  4. Step 4: Simplify right side
    17,234.80x = 122,865,466.80
  5. Step 5: Solve for x
    x = 122,865,466.80/17,234.80
  6. Step 6: Final answer
    x = 7,128.92

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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.