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Finding the Fourth Proportional to 16,478.63, 24,717.73 and 3,998.75

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Solution

The fourth proportional to 16,478.63, 24,717.73 and 3,998.75 is: 5,998.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,478.63 : 24,717.73 = 3,998.75 : x
  2. Step 2: Convert to fraction form
    16,478.63/24,717.73 = 3,998.75/x
  3. Step 3: Cross multiply
    16,478.63x = 24,717.73 × 3,998.75
  4. Step 4: Simplify right side
    16,478.63x = 98,840,002.84
  5. Step 5: Solve for x
    x = 98,840,002.84/16,478.63
  6. Step 6: Final answer
    x = 5,998.07

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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.