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Finding the Fourth Proportional to 12,186.86, 18,267.69 and 6,638.69

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Solution

The fourth proportional to 12,186.86, 18,267.69 and 6,638.69 is: 9,951.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,186.86 : 18,267.69 = 6,638.69 : x
  2. Step 2: Convert to fraction form
    12,186.86/18,267.69 = 6,638.69/x
  3. Step 3: Cross multiply
    12,186.86x = 18,267.69 × 6,638.69
  4. Step 4: Simplify right side
    12,186.86x = 121,273,530.93
  5. Step 5: Solve for x
    x = 121,273,530.93/12,186.86
  6. Step 6: Final answer
    x = 9,951.17

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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.