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Finding the Fourth Proportional to 12,418.36, 18,639.78 and 9,122.20

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Solution

The fourth proportional to 12,418.36, 18,639.78 and 9,122.20 is: 13,692.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,418.36 : 18,639.78 = 9,122.20 : x
  2. Step 2: Convert to fraction form
    12,418.36/18,639.78 = 9,122.20/x
  3. Step 3: Cross multiply
    12,418.36x = 18,639.78 × 9,122.20
  4. Step 4: Simplify right side
    12,418.36x = 170,035,801.12
  5. Step 5: Solve for x
    x = 170,035,801.12/12,418.36
  6. Step 6: Final answer
    x = 13,692.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.