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Finding the Fourth Proportional to 17,532.28, 24,194.64 and 9,574.03

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Solution

The fourth proportional to 17,532.28, 24,194.64 and 9,574.03 is: 13,212.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,532.28 : 24,194.64 = 9,574.03 : x
  2. Step 2: Convert to fraction form
    17,532.28/24,194.64 = 9,574.03/x
  3. Step 3: Cross multiply
    17,532.28x = 24,194.64 × 9,574.03
  4. Step 4: Simplify right side
    17,532.28x = 231,640,209.20
  5. Step 5: Solve for x
    x = 231,640,209.20/17,532.28
  6. Step 6: Final answer
    x = 13,212.21

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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.