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Finding the Fourth Proportional to 18,238.50, 25,169.31 and 10,280.34

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Solution

The fourth proportional to 18,238.50, 25,169.31 and 10,280.34 is: 14,186.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,238.50 : 25,169.31 = 10,280.34 : x
  2. Step 2: Convert to fraction form
    18,238.50/25,169.31 = 10,280.34/x
  3. Step 3: Cross multiply
    18,238.50x = 25,169.31 × 10,280.34
  4. Step 4: Simplify right side
    18,238.50x = 258,749,064.37
  5. Step 5: Solve for x
    x = 258,749,064.37/18,238.50
  6. Step 6: Final answer
    x = 14,186.97

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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.