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Finding the Fourth Proportional to 13,049.33, 18,007.71 and 7,228.23

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Solution

The fourth proportional to 13,049.33, 18,007.71 and 7,228.23 is: 9,974.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,049.33 : 18,007.71 = 7,228.23 : x
  2. Step 2: Convert to fraction form
    13,049.33/18,007.71 = 7,228.23/x
  3. Step 3: Cross multiply
    13,049.33x = 18,007.71 × 7,228.23
  4. Step 4: Simplify right side
    13,049.33x = 130,163,869.65
  5. Step 5: Solve for x
    x = 130,163,869.65/13,049.33
  6. Step 6: Final answer
    x = 9,974.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.