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Finding the Fourth Proportional to 23,792.84, 35,689.85 and 7,998.11

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Solution

The fourth proportional to 23,792.84, 35,689.85 and 7,998.11 is: 11,997.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,792.84 : 35,689.85 = 7,998.11 : x
  2. Step 2: Convert to fraction form
    23,792.84/35,689.85 = 7,998.11/x
  3. Step 3: Cross multiply
    23,792.84x = 35,689.85 × 7,998.11
  4. Step 4: Simplify right side
    23,792.84x = 285,451,346.18
  5. Step 5: Solve for x
    x = 285,451,346.18/23,792.84
  6. Step 6: Final answer
    x = 11,997.36

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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.