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Finding the Fourth Proportional to 22,969.95, 34,455.06 and 8,179.44

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Solution

The fourth proportional to 22,969.95, 34,455.06 and 8,179.44 is: 12,269.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,969.95 : 34,455.06 = 8,179.44 : x
  2. Step 2: Convert to fraction form
    22,969.95/34,455.06 = 8,179.44/x
  3. Step 3: Cross multiply
    22,969.95x = 34,455.06 × 8,179.44
  4. Step 4: Simplify right side
    22,969.95x = 281,823,095.97
  5. Step 5: Solve for x
    x = 281,823,095.97/22,969.95
  6. Step 6: Final answer
    x = 12,269.21

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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.