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Finding the Fourth Proportional to 12,764.22, 17,613.78 and 7,099.02

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Solution

The fourth proportional to 12,764.22, 17,613.78 and 7,099.02 is: 9,796.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,764.22 : 17,613.78 = 7,099.02 : x
  2. Step 2: Convert to fraction form
    12,764.22/17,613.78 = 7,099.02/x
  3. Step 3: Cross multiply
    12,764.22x = 17,613.78 × 7,099.02
  4. Step 4: Simplify right side
    12,764.22x = 125,040,576.50
  5. Step 5: Solve for x
    x = 125,040,576.50/12,764.22
  6. Step 6: Final answer
    x = 9,796.18

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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.