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Finding the Fourth Proportional to 22,682.24, 34,027 and 7,895.36

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Solution

The fourth proportional to 22,682.24, 34,027 and 7,895.36 is: 11,844.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,682.24 : 34,027 = 7,895.36 : x
  2. Step 2: Convert to fraction form
    22,682.24/34,027 = 7,895.36/x
  3. Step 3: Cross multiply
    22,682.24x = 34,027 × 7,895.36
  4. Step 4: Simplify right side
    22,682.24x = 268,655,414.72
  5. Step 5: Solve for x
    x = 268,655,414.72/22,682.24
  6. Step 6: Final answer
    x = 11,844.31

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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.