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Finding the Fourth Proportional to 12,194.67, 18,182.72 and 11,973.24

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Solution

The fourth proportional to 12,194.67, 18,182.72 and 11,973.24 is: 17,852.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194.67 : 18,182.72 = 11,973.24 : x
  2. Step 2: Convert to fraction form
    12,194.67/18,182.72 = 11,973.24/x
  3. Step 3: Cross multiply
    12,194.67x = 18,182.72 × 11,973.24
  4. Step 4: Simplify right side
    12,194.67x = 217,706,010.55
  5. Step 5: Solve for x
    x = 217,706,010.55/12,194.67
  6. Step 6: Final answer
    x = 17,852.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.