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Finding the Fourth Proportional to 17,805.86, 24,571.14 and 9,847.64

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Solution

The fourth proportional to 17,805.86, 24,571.14 and 9,847.64 is: 13,589.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,805.86 : 24,571.14 = 9,847.64 : x
  2. Step 2: Convert to fraction form
    17,805.86/24,571.14 = 9,847.64/x
  3. Step 3: Cross multiply
    17,805.86x = 24,571.14 × 9,847.64
  4. Step 4: Simplify right side
    17,805.86x = 241,967,741.11
  5. Step 5: Solve for x
    x = 241,967,741.11/17,805.86
  6. Step 6: Final answer
    x = 13,589.22

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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.