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Finding the Fourth Proportional to 13,480.50, 20,221.80 and 6,089.10

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Solution

The fourth proportional to 13,480.50, 20,221.80 and 6,089.10 is: 9,134.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,480.50 : 20,221.80 = 6,089.10 : x
  2. Step 2: Convert to fraction form
    13,480.50/20,221.80 = 6,089.10/x
  3. Step 3: Cross multiply
    13,480.50x = 20,221.80 × 6,089.10
  4. Step 4: Simplify right side
    13,480.50x = 123,132,562.38
  5. Step 5: Solve for x
    x = 123,132,562.38/13,480.50
  6. Step 6: Final answer
    x = 9,134.12

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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.