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Finding the Fourth Proportional to 17,142.62, 23,657.56 and 9,588.92

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Solution

The fourth proportional to 17,142.62, 23,657.56 and 9,588.92 is: 13,233.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,142.62 : 23,657.56 = 9,588.92 : x
  2. Step 2: Convert to fraction form
    17,142.62/23,657.56 = 9,588.92/x
  3. Step 3: Cross multiply
    17,142.62x = 23,657.56 × 9,588.92
  4. Step 4: Simplify right side
    17,142.62x = 226,850,450.24
  5. Step 5: Solve for x
    x = 226,850,450.24/17,142.62
  6. Step 6: Final answer
    x = 13,233.13

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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.