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Finding the Fourth Proportional to 17,202.96, 25,760.68 and 11,341.80

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Solution

The fourth proportional to 17,202.96, 25,760.68 and 11,341.80 is: 16,983.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,202.96 : 25,760.68 = 11,341.80 : x
  2. Step 2: Convert to fraction form
    17,202.96/25,760.68 = 11,341.80/x
  3. Step 3: Cross multiply
    17,202.96x = 25,760.68 × 11,341.80
  4. Step 4: Simplify right side
    17,202.96x = 292,172,480.42
  5. Step 5: Solve for x
    x = 292,172,480.42/17,202.96
  6. Step 6: Final answer
    x = 16,983.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.