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Finding the Fourth Proportional to 13,348.80, 20,022.50 and 6,774.83

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Solution

The fourth proportional to 13,348.80, 20,022.50 and 6,774.83 is: 10,161.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,348.80 : 20,022.50 = 6,774.83 : x
  2. Step 2: Convert to fraction form
    13,348.80/20,022.50 = 6,774.83/x
  3. Step 3: Cross multiply
    13,348.80x = 20,022.50 × 6,774.83
  4. Step 4: Simplify right side
    13,348.80x = 135,648,899.69
  5. Step 5: Solve for x
    x = 135,648,899.69/13,348.80
  6. Step 6: Final answer
    x = 10,161.88

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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.