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Finding the Fourth Proportional to 18,206.12, 27,319.80 and 7,675.50

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Solution

The fourth proportional to 18,206.12, 27,319.80 and 7,675.50 is: 11,517.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,206.12 : 27,319.80 = 7,675.50 : x
  2. Step 2: Convert to fraction form
    18,206.12/27,319.80 = 7,675.50/x
  3. Step 3: Cross multiply
    18,206.12x = 27,319.80 × 7,675.50
  4. Step 4: Simplify right side
    18,206.12x = 209,693,124.90
  5. Step 5: Solve for x
    x = 209,693,124.90/18,206.12
  6. Step 6: Final answer
    x = 11,517.73

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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.