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Finding the Fourth Proportional to 12,190.95, 18,289.15 and 3,871.24

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Solution

The fourth proportional to 12,190.95, 18,289.15 and 3,871.24 is: 5,807.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,190.95 : 18,289.15 = 3,871.24 : x
  2. Step 2: Convert to fraction form
    12,190.95/18,289.15 = 3,871.24/x
  3. Step 3: Cross multiply
    12,190.95x = 18,289.15 × 3,871.24
  4. Step 4: Simplify right side
    12,190.95x = 70,801,633.65
  5. Step 5: Solve for x
    x = 70,801,633.65/12,190.95
  6. Step 6: Final answer
    x = 5,807.72

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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.