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Finding the Fourth Proportional to 18,207.18, 27,305.91 and 7,816.50

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Solution

The fourth proportional to 18,207.18, 27,305.91 and 7,816.50 is: 11,722.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,207.18 : 27,305.91 = 7,816.50 : x
  2. Step 2: Convert to fraction form
    18,207.18/27,305.91 = 7,816.50/x
  3. Step 3: Cross multiply
    18,207.18x = 27,305.91 × 7,816.50
  4. Step 4: Simplify right side
    18,207.18x = 213,436,645.52
  5. Step 5: Solve for x
    x = 213,436,645.52/18,207.18
  6. Step 6: Final answer
    x = 11,722.66

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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.