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Finding the Fourth Proportional to 22,969.70, 34,454.55 and 8,195.30

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Solution

The fourth proportional to 22,969.70, 34,454.55 and 8,195.30 is: 12,292.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,969.70 : 34,454.55 = 8,195.30 : x
  2. Step 2: Convert to fraction form
    22,969.70/34,454.55 = 8,195.30/x
  3. Step 3: Cross multiply
    22,969.70x = 34,454.55 × 8,195.30
  4. Step 4: Simplify right side
    22,969.70x = 282,365,373.62
  5. Step 5: Solve for x
    x = 282,365,373.62/22,969.70
  6. Step 6: Final answer
    x = 12,292.95

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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.