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Finding the Fourth Proportional to 13,661.80, 20,489.10 and 4,301.80

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Solution

The fourth proportional to 13,661.80, 20,489.10 and 4,301.80 is: 6,451.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,661.80 : 20,489.10 = 4,301.80 : x
  2. Step 2: Convert to fraction form
    13,661.80/20,489.10 = 4,301.80/x
  3. Step 3: Cross multiply
    13,661.80x = 20,489.10 × 4,301.80
  4. Step 4: Simplify right side
    13,661.80x = 88,140,010.38
  5. Step 5: Solve for x
    x = 88,140,010.38/13,661.80
  6. Step 6: Final answer
    x = 6,451.57

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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.