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Finding the Fourth Proportional to 12,190.61, 18,286.62 and 3,426.20

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Solution

The fourth proportional to 12,190.61, 18,286.62 and 3,426.20 is: 5,139.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,190.61 : 18,286.62 = 3,426.20 : x
  2. Step 2: Convert to fraction form
    12,190.61/18,286.62 = 3,426.20/x
  3. Step 3: Cross multiply
    12,190.61x = 18,286.62 × 3,426.20
  4. Step 4: Simplify right side
    12,190.61x = 62,653,663.16
  5. Step 5: Solve for x
    x = 62,653,663.16/12,190.61
  6. Step 6: Final answer
    x = 5,139.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.