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Finding the Fourth Proportional to 18,249, 25,183.62 and 9,865.50

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Solution

The fourth proportional to 18,249, 25,183.62 and 9,865.50 is: 13,614.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,249 : 25,183.62 = 9,865.50 : x
  2. Step 2: Convert to fraction form
    18,249/25,183.62 = 9,865.50/x
  3. Step 3: Cross multiply
    18,249x = 25,183.62 × 9,865.50
  4. Step 4: Simplify right side
    18,249x = 248,449,003.11
  5. Step 5: Solve for x
    x = 248,449,003.11/18,249
  6. Step 6: Final answer
    x = 13,614.39

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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.