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Finding the Fourth Proportional to 12,186.15, 18,279.88 and 3,866.82

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Solution

The fourth proportional to 12,186.15, 18,279.88 and 3,866.82 is: 5,800.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,186.15 : 18,279.88 = 3,866.82 : x
  2. Step 2: Convert to fraction form
    12,186.15/18,279.88 = 3,866.82/x
  3. Step 3: Cross multiply
    12,186.15x = 18,279.88 × 3,866.82
  4. Step 4: Simplify right side
    12,186.15x = 70,685,005.58
  5. Step 5: Solve for x
    x = 70,685,005.58/12,186.15
  6. Step 6: Final answer
    x = 5,800.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.