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Finding the Fourth Proportional to 12,186.31, 18,275.74 and 5,166.19

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Solution

The fourth proportional to 12,186.31, 18,275.74 and 5,166.19 is: 7,747.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,186.31 : 18,275.74 = 5,166.19 : x
  2. Step 2: Convert to fraction form
    12,186.31/18,275.74 = 5,166.19/x
  3. Step 3: Cross multiply
    12,186.31x = 18,275.74 × 5,166.19
  4. Step 4: Simplify right side
    12,186.31x = 94,415,945.23
  5. Step 5: Solve for x
    x = 94,415,945.23/12,186.31
  6. Step 6: Final answer
    x = 7,747.71

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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.