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Finding the Fourth Proportional to 22,682.53, 34,033.55 and 7,883.38

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Solution

The fourth proportional to 22,682.53, 34,033.55 and 7,883.38 is: 11,828.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,682.53 : 34,033.55 = 7,883.38 : x
  2. Step 2: Convert to fraction form
    22,682.53/34,033.55 = 7,883.38/x
  3. Step 3: Cross multiply
    22,682.53x = 34,033.55 × 7,883.38
  4. Step 4: Simplify right side
    22,682.53x = 268,299,282.90
  5. Step 5: Solve for x
    x = 268,299,282.90/22,682.53
  6. Step 6: Final answer
    x = 11,828.46

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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.