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Finding the Fourth Proportional to 17,509.30, 24,143.67 and 11,834.19

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Solution

The fourth proportional to 17,509.30, 24,143.67 and 11,834.19 is: 16,318.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,509.30 : 24,143.67 = 11,834.19 : x
  2. Step 2: Convert to fraction form
    17,509.30/24,143.67 = 11,834.19/x
  3. Step 3: Cross multiply
    17,509.30x = 24,143.67 × 11,834.19
  4. Step 4: Simplify right side
    17,509.30x = 285,720,778.08
  5. Step 5: Solve for x
    x = 285,720,778.08/17,509.30
  6. Step 6: Final answer
    x = 16,318.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.