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Finding the Fourth Proportional to 13,406.05, 20,111.69 and 4,046.83

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Solution

The fourth proportional to 13,406.05, 20,111.69 and 4,046.83 is: 6,071.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,406.05 : 20,111.69 = 4,046.83 : x
  2. Step 2: Convert to fraction form
    13,406.05/20,111.69 = 4,046.83/x
  3. Step 3: Cross multiply
    13,406.05x = 20,111.69 × 4,046.83
  4. Step 4: Simplify right side
    13,406.05x = 81,388,469.65
  5. Step 5: Solve for x
    x = 81,388,469.65/13,406.05
  6. Step 6: Final answer
    x = 6,071.03

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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.