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Finding the Fourth Proportional to 18,257.52, 25,195.36 and 9,874

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Solution

The fourth proportional to 18,257.52, 25,195.36 and 9,874 is: 13,626.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,257.52 : 25,195.36 = 9,874 : x
  2. Step 2: Convert to fraction form
    18,257.52/25,195.36 = 9,874/x
  3. Step 3: Cross multiply
    18,257.52x = 25,195.36 × 9,874
  4. Step 4: Simplify right side
    18,257.52x = 248,778,984.64
  5. Step 5: Solve for x
    x = 248,778,984.64/18,257.52
  6. Step 6: Final answer
    x = 13,626.11

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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.