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Finding the Fourth Proportional to 22,943.49, 34,394.85 and 8,150.46

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Solution

The fourth proportional to 22,943.49, 34,394.85 and 8,150.46 is: 12,218.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,943.49 : 34,394.85 = 8,150.46 : x
  2. Step 2: Convert to fraction form
    22,943.49/34,394.85 = 8,150.46/x
  3. Step 3: Cross multiply
    22,943.49x = 34,394.85 × 8,150.46
  4. Step 4: Simplify right side
    22,943.49x = 280,333,849.13
  5. Step 5: Solve for x
    x = 280,333,849.13/22,943.49
  6. Step 6: Final answer
    x = 12,218.45

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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.