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Finding the Fourth Proportional to 34,398.56, 51,600.24 and 13,622

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Solution

The fourth proportional to 34,398.56, 51,600.24 and 13,622 is: 20,433.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,398.56 : 51,600.24 = 13,622 : x
  2. Step 2: Convert to fraction form
    34,398.56/51,600.24 = 13,622/x
  3. Step 3: Cross multiply
    34,398.56x = 51,600.24 × 13,622
  4. Step 4: Simplify right side
    34,398.56x = 702,898,469.28
  5. Step 5: Solve for x
    x = 702,898,469.28/34,398.56
  6. Step 6: Final answer
    x = 20,433.95

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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.