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Finding the Fourth Proportional to 24,450.30, 36,674.82 and 7,811.28

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Solution

The fourth proportional to 24,450.30, 36,674.82 and 7,811.28 is: 11,716.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,450.30 : 36,674.82 = 7,811.28 : x
  2. Step 2: Convert to fraction form
    24,450.30/36,674.82 = 7,811.28/x
  3. Step 3: Cross multiply
    24,450.30x = 36,674.82 × 7,811.28
  4. Step 4: Simplify right side
    24,450.30x = 286,477,287.97
  5. Step 5: Solve for x
    x = 286,477,287.97/24,450.30
  6. Step 6: Final answer
    x = 11,716.72

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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.