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Finding the Fourth Proportional to 18,469.50, 25,487.91 and 10,086

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Solution

The fourth proportional to 18,469.50, 25,487.91 and 10,086 is: 13,918.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,469.50 : 25,487.91 = 10,086 : x
  2. Step 2: Convert to fraction form
    18,469.50/25,487.91 = 10,086/x
  3. Step 3: Cross multiply
    18,469.50x = 25,487.91 × 10,086
  4. Step 4: Simplify right side
    18,469.50x = 257,071,060.26
  5. Step 5: Solve for x
    x = 257,071,060.26/18,469.50
  6. Step 6: Final answer
    x = 13,918.68

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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.