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Finding the Fourth Proportional to 17,320.44, 23,899.50 and 9,867

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Solution

The fourth proportional to 17,320.44, 23,899.50 and 9,867 is: 13,614.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,320.44 : 23,899.50 = 9,867 : x
  2. Step 2: Convert to fraction form
    17,320.44/23,899.50 = 9,867/x
  3. Step 3: Cross multiply
    17,320.44x = 23,899.50 × 9,867
  4. Step 4: Simplify right side
    17,320.44x = 235,816,366.50
  5. Step 5: Solve for x
    x = 235,816,366.50/17,320.44
  6. Step 6: Final answer
    x = 13,614.92

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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.