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Finding the Fourth Proportional to 12,209.69, 18,301.76 and 5,640.18

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Solution

The fourth proportional to 12,209.69, 18,301.76 and 5,640.18 is: 8,454.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,209.69 : 18,301.76 = 5,640.18 : x
  2. Step 2: Convert to fraction form
    12,209.69/18,301.76 = 5,640.18/x
  3. Step 3: Cross multiply
    12,209.69x = 18,301.76 × 5,640.18
  4. Step 4: Simplify right side
    12,209.69x = 103,225,220.72
  5. Step 5: Solve for x
    x = 103,225,220.72/12,209.69
  6. Step 6: Final answer
    x = 8,454.37

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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.