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Finding the Fourth Proportional to 12,327.36, 17,013.48 and 7,022.64

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Solution

The fourth proportional to 12,327.36, 17,013.48 and 7,022.64 is: 9,692.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,327.36 : 17,013.48 = 7,022.64 : x
  2. Step 2: Convert to fraction form
    12,327.36/17,013.48 = 7,022.64/x
  3. Step 3: Cross multiply
    12,327.36x = 17,013.48 × 7,022.64
  4. Step 4: Simplify right side
    12,327.36x = 119,479,545.19
  5. Step 5: Solve for x
    x = 119,479,545.19/12,327.36
  6. Step 6: Final answer
    x = 9,692.22

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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.