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Finding the Fourth Proportional to 13,225.33, 18,251.09 and 7,257.12

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Solution

The fourth proportional to 13,225.33, 18,251.09 and 7,257.12 is: 10,014.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,225.33 : 18,251.09 = 7,257.12 : x
  2. Step 2: Convert to fraction form
    13,225.33/18,251.09 = 7,257.12/x
  3. Step 3: Cross multiply
    13,225.33x = 18,251.09 × 7,257.12
  4. Step 4: Simplify right side
    13,225.33x = 132,450,350.26
  5. Step 5: Solve for x
    x = 132,450,350.26/13,225.33
  6. Step 6: Final answer
    x = 10,014.90

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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.