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Finding the Fourth Proportional to 22,702.35, 34,046.19 and 8,274.61

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Solution

The fourth proportional to 22,702.35, 34,046.19 and 8,274.61 is: 12,409.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,702.35 : 34,046.19 = 8,274.61 : x
  2. Step 2: Convert to fraction form
    22,702.35/34,046.19 = 8,274.61/x
  3. Step 3: Cross multiply
    22,702.35x = 34,046.19 × 8,274.61
  4. Step 4: Simplify right side
    22,702.35x = 281,718,944.24
  5. Step 5: Solve for x
    x = 281,718,944.24/22,702.35
  6. Step 6: Final answer
    x = 12,409.24

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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.