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Finding the Fourth Proportional to 17,571.83, 24,249.20 and 9,505.46

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Solution

The fourth proportional to 17,571.83, 24,249.20 and 9,505.46 is: 13,117.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,571.83 : 24,249.20 = 9,505.46 : x
  2. Step 2: Convert to fraction form
    17,571.83/24,249.20 = 9,505.46/x
  3. Step 3: Cross multiply
    17,571.83x = 24,249.20 × 9,505.46
  4. Step 4: Simplify right side
    17,571.83x = 230,499,631.86
  5. Step 5: Solve for x
    x = 230,499,631.86/17,571.83
  6. Step 6: Final answer
    x = 13,117.57

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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.