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Finding the Fourth Proportional to 13,350, 20,023.62 and 3,488.00

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Solution

The fourth proportional to 13,350, 20,023.62 and 3,488.00 is: 5,231.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,350 : 20,023.62 = 3,488.00 : x
  2. Step 2: Convert to fraction form
    13,350/20,023.62 = 3,488.00/x
  3. Step 3: Cross multiply
    13,350x = 20,023.62 × 3,488.00
  4. Step 4: Simplify right side
    13,350x = 69,842,286.44
  5. Step 5: Solve for x
    x = 69,842,286.44/13,350
  6. Step 6: Final answer
    x = 5,231.63

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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.