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Finding the Fourth Proportional to 13,349.80, 20,023.99 and 6,775.83

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Solution

The fourth proportional to 13,349.80, 20,023.99 and 6,775.83 is: 10,163.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,349.80 : 20,023.99 = 6,775.83 : x
  2. Step 2: Convert to fraction form
    13,349.80/20,023.99 = 6,775.83/x
  3. Step 3: Cross multiply
    13,349.80x = 20,023.99 × 6,775.83
  4. Step 4: Simplify right side
    13,349.80x = 135,679,152.16
  5. Step 5: Solve for x
    x = 135,679,152.16/13,349.80
  6. Step 6: Final answer
    x = 10,163.38

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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.