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Finding the Fourth Proportional to 13,224.82, 18,251.44 and 7,257.66

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Solution

The fourth proportional to 13,224.82, 18,251.44 and 7,257.66 is: 10,016.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,224.82 : 18,251.44 = 7,257.66 : x
  2. Step 2: Convert to fraction form
    13,224.82/18,251.44 = 7,257.66/x
  3. Step 3: Cross multiply
    13,224.82x = 18,251.44 × 7,257.66
  4. Step 4: Simplify right side
    13,224.82x = 132,462,746.03
  5. Step 5: Solve for x
    x = 132,462,746.03/13,224.82
  6. Step 6: Final answer
    x = 10,016.22

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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.