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Finding the Fourth Proportional to 12,185.86, 18,266.19 and 6,637.69

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Solution

The fourth proportional to 12,185.86, 18,266.19 and 6,637.69 is: 9,949.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185.86 : 18,266.19 = 6,637.69 : x
  2. Step 2: Convert to fraction form
    12,185.86/18,266.19 = 6,637.69/x
  3. Step 3: Cross multiply
    12,185.86x = 18,266.19 × 6,637.69
  4. Step 4: Simplify right side
    12,185.86x = 121,245,306.70
  5. Step 5: Solve for x
    x = 121,245,306.70/12,185.86
  6. Step 6: Final answer
    x = 9,949.67

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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.