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Finding the Fourth Proportional to 12,237.42, 18,347.16 and 3,912.66

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Solution

The fourth proportional to 12,237.42, 18,347.16 and 3,912.66 is: 5,866.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,237.42 : 18,347.16 = 3,912.66 : x
  2. Step 2: Convert to fraction form
    12,237.42/18,347.16 = 3,912.66/x
  3. Step 3: Cross multiply
    12,237.42x = 18,347.16 × 3,912.66
  4. Step 4: Simplify right side
    12,237.42x = 71,786,199.05
  5. Step 5: Solve for x
    x = 71,786,199.05/12,237.42
  6. Step 6: Final answer
    x = 5,866.12

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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.