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Finding the Fourth Proportional to 22,733.08, 34,107.66 and 7,946.08

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Solution

The fourth proportional to 22,733.08, 34,107.66 and 7,946.08 is: 11,921.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,733.08 : 34,107.66 = 7,946.08 : x
  2. Step 2: Convert to fraction form
    22,733.08/34,107.66 = 7,946.08/x
  3. Step 3: Cross multiply
    22,733.08x = 34,107.66 × 7,946.08
  4. Step 4: Simplify right side
    22,733.08x = 271,022,194.97
  5. Step 5: Solve for x
    x = 271,022,194.97/22,733.08
  6. Step 6: Final answer
    x = 11,921.93

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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.