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Finding the Fourth Proportional to 22,806.28, 31,468.72 and 12,734.20

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Solution

The fourth proportional to 22,806.28, 31,468.72 and 12,734.20 is: 17,570.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,806.28 : 31,468.72 = 12,734.20 : x
  2. Step 2: Convert to fraction form
    22,806.28/31,468.72 = 12,734.20/x
  3. Step 3: Cross multiply
    22,806.28x = 31,468.72 × 12,734.20
  4. Step 4: Simplify right side
    22,806.28x = 400,728,974.22
  5. Step 5: Solve for x
    x = 400,728,974.22/22,806.28
  6. Step 6: Final answer
    x = 17,570.99

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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.