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Finding the Fourth Proportional to 22,202.25, 30,639.11 and 12,266.25

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Solution

The fourth proportional to 22,202.25, 30,639.11 and 12,266.25 is: 16,927.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,202.25 : 30,639.11 = 12,266.25 : x
  2. Step 2: Convert to fraction form
    22,202.25/30,639.11 = 12,266.25/x
  3. Step 3: Cross multiply
    22,202.25x = 30,639.11 × 12,266.25
  4. Step 4: Simplify right side
    22,202.25x = 375,826,921.71
  5. Step 5: Solve for x
    x = 375,826,921.71/22,202.25
  6. Step 6: Final answer
    x = 16,927.43

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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.