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Finding the Fourth Proportional to 22,813.84, 34,221.73 and 7,231.12

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Solution

The fourth proportional to 22,813.84, 34,221.73 and 7,231.12 is: 10,846.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,813.84 : 34,221.73 = 7,231.12 : x
  2. Step 2: Convert to fraction form
    22,813.84/34,221.73 = 7,231.12/x
  3. Step 3: Cross multiply
    22,813.84x = 34,221.73 × 7,231.12
  4. Step 4: Simplify right side
    22,813.84x = 247,461,436.24
  5. Step 5: Solve for x
    x = 247,461,436.24/22,813.84
  6. Step 6: Final answer
    x = 10,846.99

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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.