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Finding the Fourth Proportional to 13,197.74, 18,182.21 and 9,211.86

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Solution

The fourth proportional to 13,197.74, 18,182.21 and 9,211.86 is: 12,690.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,197.74 : 18,182.21 = 9,211.86 : x
  2. Step 2: Convert to fraction form
    13,197.74/18,182.21 = 9,211.86/x
  3. Step 3: Cross multiply
    13,197.74x = 18,182.21 × 9,211.86
  4. Step 4: Simplify right side
    13,197.74x = 167,491,926.95
  5. Step 5: Solve for x
    x = 167,491,926.95/13,197.74
  6. Step 6: Final answer
    x = 12,690.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.