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Finding the Fourth Proportional to 22,969.45, 34,454.31 and 8,178.94

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Solution

The fourth proportional to 22,969.45, 34,454.31 and 8,178.94 is: 12,268.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,969.45 : 34,454.31 = 8,178.94 : x
  2. Step 2: Convert to fraction form
    22,969.45/34,454.31 = 8,178.94/x
  3. Step 3: Cross multiply
    22,969.45x = 34,454.31 × 8,178.94
  4. Step 4: Simplify right side
    22,969.45x = 281,799,734.23
  5. Step 5: Solve for x
    x = 281,799,734.23/22,969.45
  6. Step 6: Final answer
    x = 12,268.46

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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.