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Finding the Fourth Proportional to 22,856.82, 34,284.12 and 5,989.92

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Solution

The fourth proportional to 22,856.82, 34,284.12 and 5,989.92 is: 8,984.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,856.82 : 34,284.12 = 5,989.92 : x
  2. Step 2: Convert to fraction form
    22,856.82/34,284.12 = 5,989.92/x
  3. Step 3: Cross multiply
    22,856.82x = 34,284.12 × 5,989.92
  4. Step 4: Simplify right side
    22,856.82x = 205,359,136.07
  5. Step 5: Solve for x
    x = 205,359,136.07/22,856.82
  6. Step 6: Final answer
    x = 8,984.59

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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.