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Finding the Fourth Proportional to 18,211.87, 27,319.69 and 6,967.18

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Solution

The fourth proportional to 18,211.87, 27,319.69 and 6,967.18 is: 10,451.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,211.87 : 27,319.69 = 6,967.18 : x
  2. Step 2: Convert to fraction form
    18,211.87/27,319.69 = 6,967.18/x
  3. Step 3: Cross multiply
    18,211.87x = 27,319.69 × 6,967.18
  4. Step 4: Simplify right side
    18,211.87x = 190,341,197.77
  5. Step 5: Solve for x
    x = 190,341,197.77/18,211.87
  6. Step 6: Final answer
    x = 10,451.49

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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.