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Finding the Fourth Proportional to 12,241.18, 18,360.20 and 3,920.50

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Solution

The fourth proportional to 12,241.18, 18,360.20 and 3,920.50 is: 5,880.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,241.18 : 18,360.20 = 3,920.50 : x
  2. Step 2: Convert to fraction form
    12,241.18/18,360.20 = 3,920.50/x
  3. Step 3: Cross multiply
    12,241.18x = 18,360.20 × 3,920.50
  4. Step 4: Simplify right side
    12,241.18x = 71,981,164.10
  5. Step 5: Solve for x
    x = 71,981,164.10/12,241.18
  6. Step 6: Final answer
    x = 5,880.25

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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.