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Finding the Fourth Proportional to 22,342.64, 33,513.75 and 5,702.44

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Solution

The fourth proportional to 22,342.64, 33,513.75 and 5,702.44 is: 8,553.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,342.64 : 33,513.75 = 5,702.44 : x
  2. Step 2: Convert to fraction form
    22,342.64/33,513.75 = 5,702.44/x
  3. Step 3: Cross multiply
    22,342.64x = 33,513.75 × 5,702.44
  4. Step 4: Simplify right side
    22,342.64x = 191,109,952.47
  5. Step 5: Solve for x
    x = 191,109,952.47/22,342.64
  6. Step 6: Final answer
    x = 8,553.60

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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.