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Finding the Fourth Proportional to 17,209.16, 23,747.80 and 9,654.56

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Solution

The fourth proportional to 17,209.16, 23,747.80 and 9,654.56 is: 13,322.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,209.16 : 23,747.80 = 9,654.56 : x
  2. Step 2: Convert to fraction form
    17,209.16/23,747.80 = 9,654.56/x
  3. Step 3: Cross multiply
    17,209.16x = 23,747.80 × 9,654.56
  4. Step 4: Simplify right side
    17,209.16x = 229,274,559.97
  5. Step 5: Solve for x
    x = 229,274,559.97/17,209.16
  6. Step 6: Final answer
    x = 13,322.82

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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.