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Finding the Fourth Proportional to 17,534.67, 24,197.23 and 9,980.43

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Solution

The fourth proportional to 17,534.67, 24,197.23 and 9,980.43 is: 13,772.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,534.67 : 24,197.23 = 9,980.43 : x
  2. Step 2: Convert to fraction form
    17,534.67/24,197.23 = 9,980.43/x
  3. Step 3: Cross multiply
    17,534.67x = 24,197.23 × 9,980.43
  4. Step 4: Simplify right side
    17,534.67x = 241,498,760.21
  5. Step 5: Solve for x
    x = 241,498,760.21/17,534.67
  6. Step 6: Final answer
    x = 13,772.64

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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.