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Finding the Fourth Proportional to 15,825.38, 21,839.70 and 8,751.80

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Solution

The fourth proportional to 15,825.38, 21,839.70 and 8,751.80 is: 12,077.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,825.38 : 21,839.70 = 8,751.80 : x
  2. Step 2: Convert to fraction form
    15,825.38/21,839.70 = 8,751.80/x
  3. Step 3: Cross multiply
    15,825.38x = 21,839.70 × 8,751.80
  4. Step 4: Simplify right side
    15,825.38x = 191,136,626.42
  5. Step 5: Solve for x
    x = 191,136,626.42/15,825.38
  6. Step 6: Final answer
    x = 12,077.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.