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Finding the Fourth Proportional to 24,969.50, 37,457.79 and 8,096.79

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Solution

The fourth proportional to 24,969.50, 37,457.79 and 8,096.79 is: 12,146.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,969.50 : 37,457.79 = 8,096.79 : x
  2. Step 2: Convert to fraction form
    24,969.50/37,457.79 = 8,096.79/x
  3. Step 3: Cross multiply
    24,969.50x = 37,457.79 × 8,096.79
  4. Step 4: Simplify right side
    24,969.50x = 303,287,859.49
  5. Step 5: Solve for x
    x = 303,287,859.49/24,969.50
  6. Step 6: Final answer
    x = 12,146.33

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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.