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Finding the Fourth Proportional to 17,847.14, 24,629.22 and 9,889.53

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Solution

The fourth proportional to 17,847.14, 24,629.22 and 9,889.53 is: 13,647.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,847.14 : 24,629.22 = 9,889.53 : x
  2. Step 2: Convert to fraction form
    17,847.14/24,629.22 = 9,889.53/x
  3. Step 3: Cross multiply
    17,847.14x = 24,629.22 × 9,889.53
  4. Step 4: Simplify right side
    17,847.14x = 243,571,471.64
  5. Step 5: Solve for x
    x = 243,571,471.64/17,847.14
  6. Step 6: Final answer
    x = 13,647.65

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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.