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Finding the Fourth Proportional to 17,267.57, 23,829.21 and 9,713.91

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Solution

The fourth proportional to 17,267.57, 23,829.21 and 9,713.91 is: 13,405.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,267.57 : 23,829.21 = 9,713.91 : x
  2. Step 2: Convert to fraction form
    17,267.57/23,829.21 = 9,713.91/x
  3. Step 3: Cross multiply
    17,267.57x = 23,829.21 × 9,713.91
  4. Step 4: Simplify right side
    17,267.57x = 231,474,770.72
  5. Step 5: Solve for x
    x = 231,474,770.72/17,267.57
  6. Step 6: Final answer
    x = 13,405.17

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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.