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Finding the Fourth Proportional to 22,813.61, 34,220.23 and 6,175.33

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Solution

The fourth proportional to 22,813.61, 34,220.23 and 6,175.33 is: 9,262.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,813.61 : 34,220.23 = 6,175.33 : x
  2. Step 2: Convert to fraction form
    22,813.61/34,220.23 = 6,175.33/x
  3. Step 3: Cross multiply
    22,813.61x = 34,220.23 × 6,175.33
  4. Step 4: Simplify right side
    22,813.61x = 211,321,111.94
  5. Step 5: Solve for x
    x = 211,321,111.94/22,813.61
  6. Step 6: Final answer
    x = 9,262.94

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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.