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Finding the Fourth Proportional to 11,439.53, 17,083.16 and 11,315.83

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Solution

The fourth proportional to 11,439.53, 17,083.16 and 11,315.83 is: 16,898.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,439.53 : 17,083.16 = 11,315.83 : x
  2. Step 2: Convert to fraction form
    11,439.53/17,083.16 = 11,315.83/x
  3. Step 3: Cross multiply
    11,439.53x = 17,083.16 × 11,315.83
  4. Step 4: Simplify right side
    11,439.53x = 193,310,049.01
  5. Step 5: Solve for x
    x = 193,310,049.01/11,439.53
  6. Step 6: Final answer
    x = 16,898.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.