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Finding the Fourth Proportional to 13,016.96, 17,962.67 and 7,352.87

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Solution

The fourth proportional to 13,016.96, 17,962.67 and 7,352.87 is: 10,146.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,016.96 : 17,962.67 = 7,352.87 : x
  2. Step 2: Convert to fraction form
    13,016.96/17,962.67 = 7,352.87/x
  3. Step 3: Cross multiply
    13,016.96x = 17,962.67 × 7,352.87
  4. Step 4: Simplify right side
    13,016.96x = 132,077,105.93
  5. Step 5: Solve for x
    x = 132,077,105.93/13,016.96
  6. Step 6: Final answer
    x = 10,146.54

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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.