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Finding the Fourth Proportional to 13,480.90, 20,220.66 and 5,164.90

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Solution

The fourth proportional to 13,480.90, 20,220.66 and 5,164.90 is: 7,747.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,480.90 : 20,220.66 = 5,164.90 : x
  2. Step 2: Convert to fraction form
    13,480.90/20,220.66 = 5,164.90/x
  3. Step 3: Cross multiply
    13,480.90x = 20,220.66 × 5,164.90
  4. Step 4: Simplify right side
    13,480.90x = 104,437,686.83
  5. Step 5: Solve for x
    x = 104,437,686.83/13,480.90
  6. Step 6: Final answer
    x = 7,747.09

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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.