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Finding the Fourth Proportional to 23,616.82, 35,424.69 and 5,846.77

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Solution

The fourth proportional to 23,616.82, 35,424.69 and 5,846.77 is: 8,770.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,616.82 : 35,424.69 = 5,846.77 : x
  2. Step 2: Convert to fraction form
    23,616.82/35,424.69 = 5,846.77/x
  3. Step 3: Cross multiply
    23,616.82x = 35,424.69 × 5,846.77
  4. Step 4: Simplify right side
    23,616.82x = 207,120,014.75
  5. Step 5: Solve for x
    x = 207,120,014.75/23,616.82
  6. Step 6: Final answer
    x = 8,770.02

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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.