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Finding the Fourth Proportional to 11,219.81, 16,832.19 and 3,429.23

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Solution

The fourth proportional to 11,219.81, 16,832.19 and 3,429.23 is: 5,144.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,219.81 : 16,832.19 = 3,429.23 : x
  2. Step 2: Convert to fraction form
    11,219.81/16,832.19 = 3,429.23/x
  3. Step 3: Cross multiply
    11,219.81x = 16,832.19 × 3,429.23
  4. Step 4: Simplify right side
    11,219.81x = 57,721,450.91
  5. Step 5: Solve for x
    x = 57,721,450.91/11,219.81
  6. Step 6: Final answer
    x = 5,144.60

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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.