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Finding the Fourth Proportional to 24,633.77, 36,955.78 and 7,994.12

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Solution

The fourth proportional to 24,633.77, 36,955.78 and 7,994.12 is: 11,992.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,633.77 : 36,955.78 = 7,994.12 : x
  2. Step 2: Convert to fraction form
    24,633.77/36,955.78 = 7,994.12/x
  3. Step 3: Cross multiply
    24,633.77x = 36,955.78 × 7,994.12
  4. Step 4: Simplify right side
    24,633.77x = 295,428,940.01
  5. Step 5: Solve for x
    x = 295,428,940.01/24,633.77
  6. Step 6: Final answer
    x = 11,992.84

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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.