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Finding the Fourth Proportional to 23,998.77, 35,998.11 and 8,412.75

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Solution

The fourth proportional to 23,998.77, 35,998.11 and 8,412.75 is: 12,619.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,998.77 : 35,998.11 = 8,412.75 : x
  2. Step 2: Convert to fraction form
    23,998.77/35,998.11 = 8,412.75/x
  3. Step 3: Cross multiply
    23,998.77x = 35,998.11 × 8,412.75
  4. Step 4: Simplify right side
    23,998.77x = 302,843,099.90
  5. Step 5: Solve for x
    x = 302,843,099.90/23,998.77
  6. Step 6: Final answer
    x = 12,619.11

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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.