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Finding the Fourth Proportional to 17,571.83, 24,249.34 and 9,614.18

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Solution

The fourth proportional to 17,571.83, 24,249.34 and 9,614.18 is: 13,267.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,571.83 : 24,249.34 = 9,614.18 : x
  2. Step 2: Convert to fraction form
    17,571.83/24,249.34 = 9,614.18/x
  3. Step 3: Cross multiply
    17,571.83x = 24,249.34 × 9,614.18
  4. Step 4: Simplify right side
    17,571.83x = 233,137,592.28
  5. Step 5: Solve for x
    x = 233,137,592.28/17,571.83
  6. Step 6: Final answer
    x = 13,267.69

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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.