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Finding the Fourth Proportional to 22,474.34, 33,715.17 and 8,435.47

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Solution

The fourth proportional to 22,474.34, 33,715.17 and 8,435.47 is: 12,654.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,474.34 : 33,715.17 = 8,435.47 : x
  2. Step 2: Convert to fraction form
    22,474.34/33,715.17 = 8,435.47/x
  3. Step 3: Cross multiply
    22,474.34x = 33,715.17 × 8,435.47
  4. Step 4: Simplify right side
    22,474.34x = 284,403,410.44
  5. Step 5: Solve for x
    x = 284,403,410.44/22,474.34
  6. Step 6: Final answer
    x = 12,654.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.