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Finding the Fourth Proportional to 16,471.69, 24,707.94 and 5,942.60

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Solution

The fourth proportional to 16,471.69, 24,707.94 and 5,942.60 is: 8,914.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,471.69 : 24,707.94 = 5,942.60 : x
  2. Step 2: Convert to fraction form
    16,471.69/24,707.94 = 5,942.60/x
  3. Step 3: Cross multiply
    16,471.69x = 24,707.94 × 5,942.60
  4. Step 4: Simplify right side
    16,471.69x = 146,829,351.07
  5. Step 5: Solve for x
    x = 146,829,351.07/16,471.69
  6. Step 6: Final answer
    x = 8,914.04

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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.