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Finding the Fourth Proportional to 12,561, 18,841.50 and 5,169.48

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Solution

The fourth proportional to 12,561, 18,841.50 and 5,169.48 is: 7,754.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,561 : 18,841.50 = 5,169.48 : x
  2. Step 2: Convert to fraction form
    12,561/18,841.50 = 5,169.48/x
  3. Step 3: Cross multiply
    12,561x = 18,841.50 × 5,169.48
  4. Step 4: Simplify right side
    12,561x = 97,400,757.42
  5. Step 5: Solve for x
    x = 97,400,757.42/12,561
  6. Step 6: Final answer
    x = 7,754.22

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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.