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Finding the Fourth Proportional to 16,449.42, 24,673.73 and 7,694.13

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Solution

The fourth proportional to 16,449.42, 24,673.73 and 7,694.13 is: 11,541.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,449.42 : 24,673.73 = 7,694.13 : x
  2. Step 2: Convert to fraction form
    16,449.42/24,673.73 = 7,694.13/x
  3. Step 3: Cross multiply
    16,449.42x = 24,673.73 × 7,694.13
  4. Step 4: Simplify right side
    16,449.42x = 189,842,847.73
  5. Step 5: Solve for x
    x = 189,842,847.73/16,449.42
  6. Step 6: Final answer
    x = 11,541.01

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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.