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Finding the Fourth Proportional to 13,338.96, 20,007.90 and 3,478.32

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Solution

The fourth proportional to 13,338.96, 20,007.90 and 3,478.32 is: 5,217.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,338.96 : 20,007.90 = 3,478.32 : x
  2. Step 2: Convert to fraction form
    13,338.96/20,007.90 = 3,478.32/x
  3. Step 3: Cross multiply
    13,338.96x = 20,007.90 × 3,478.32
  4. Step 4: Simplify right side
    13,338.96x = 69,593,878.73
  5. Step 5: Solve for x
    x = 69,593,878.73/13,338.96
  6. Step 6: Final answer
    x = 5,217.34

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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.