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Finding the Fourth Proportional to 22,342.79, 33,514.15 and 5,702.82

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Solution

The fourth proportional to 22,342.79, 33,514.15 and 5,702.82 is: 8,554.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,342.79 : 33,514.15 = 5,702.82 : x
  2. Step 2: Convert to fraction form
    22,342.79/33,514.15 = 5,702.82/x
  3. Step 3: Cross multiply
    22,342.79x = 33,514.15 × 5,702.82
  4. Step 4: Simplify right side
    22,342.79x = 191,125,234.87
  5. Step 5: Solve for x
    x = 191,125,234.87/22,342.79
  6. Step 6: Final answer
    x = 8,554.23

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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.