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Finding the Fourth Proportional to 22,342.39, 33,513.57 and 5,702.43

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Solution

The fourth proportional to 22,342.39, 33,513.57 and 5,702.43 is: 8,553.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,342.39 : 33,513.57 = 5,702.43 : x
  2. Step 2: Convert to fraction form
    22,342.39/33,513.57 = 5,702.43/x
  3. Step 3: Cross multiply
    22,342.39x = 33,513.57 × 5,702.43
  4. Step 4: Simplify right side
    22,342.39x = 191,108,786.98
  5. Step 5: Solve for x
    x = 191,108,786.98/22,342.39
  6. Step 6: Final answer
    x = 8,553.64

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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.