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Finding the Fourth Proportional to 22,682.34, 34,027.15 and 7,895.48

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Solution

The fourth proportional to 22,682.34, 34,027.15 and 7,895.48 is: 11,844.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,682.34 : 34,027.15 = 7,895.48 : x
  2. Step 2: Convert to fraction form
    22,682.34/34,027.15 = 7,895.48/x
  3. Step 3: Cross multiply
    22,682.34x = 34,027.15 × 7,895.48
  4. Step 4: Simplify right side
    22,682.34x = 268,660,747.61
  5. Step 5: Solve for x
    x = 268,660,747.61/22,682.34
  6. Step 6: Final answer
    x = 11,844.49

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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.