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Finding the Fourth Proportional to 23,702.22, 35,558.82 and 7,906.14

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Solution

The fourth proportional to 23,702.22, 35,558.82 and 7,906.14 is: 11,861.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,702.22 : 35,558.82 = 7,906.14 : x
  2. Step 2: Convert to fraction form
    23,702.22/35,558.82 = 7,906.14/x
  3. Step 3: Cross multiply
    23,702.22x = 35,558.82 × 7,906.14
  4. Step 4: Simplify right side
    23,702.22x = 281,133,009.15
  5. Step 5: Solve for x
    x = 281,133,009.15/23,702.22
  6. Step 6: Final answer
    x = 11,861.04

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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.