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Finding the Fourth Proportional to 22,142.94, 33,214.53 and 6,560.70

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Solution

The fourth proportional to 22,142.94, 33,214.53 and 6,560.70 is: 9,841.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,142.94 : 33,214.53 = 6,560.70 : x
  2. Step 2: Convert to fraction form
    22,142.94/33,214.53 = 6,560.70/x
  3. Step 3: Cross multiply
    22,142.94x = 33,214.53 × 6,560.70
  4. Step 4: Simplify right side
    22,142.94x = 217,910,566.97
  5. Step 5: Solve for x
    x = 217,910,566.97/22,142.94
  6. Step 6: Final answer
    x = 9,841.09

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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.