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Finding the Fourth Proportional to 12,186.63, 18,290.61 and 5,951.25

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Solution

The fourth proportional to 12,186.63, 18,290.61 and 5,951.25 is: 8,932.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,186.63 : 18,290.61 = 5,951.25 : x
  2. Step 2: Convert to fraction form
    12,186.63/18,290.61 = 5,951.25/x
  3. Step 3: Cross multiply
    12,186.63x = 18,290.61 × 5,951.25
  4. Step 4: Simplify right side
    12,186.63x = 108,851,992.76
  5. Step 5: Solve for x
    x = 108,851,992.76/12,186.63
  6. Step 6: Final answer
    x = 8,932.08

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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.