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Finding the Fourth Proportional to 18,298.50, 27,447.77 and 5,150.87

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Solution

The fourth proportional to 18,298.50, 27,447.77 and 5,150.87 is: 7,726.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,298.50 : 27,447.77 = 5,150.87 : x
  2. Step 2: Convert to fraction form
    18,298.50/27,447.77 = 5,150.87/x
  3. Step 3: Cross multiply
    18,298.50x = 27,447.77 × 5,150.87
  4. Step 4: Simplify right side
    18,298.50x = 141,379,937.92
  5. Step 5: Solve for x
    x = 141,379,937.92/18,298.50
  6. Step 6: Final answer
    x = 7,726.31

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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.