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Finding the Fourth Proportional to 17,545.76, 24,215.62 and 11,170.31

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Solution

The fourth proportional to 17,545.76, 24,215.62 and 11,170.31 is: 15,416.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,545.76 : 24,215.62 = 11,170.31 : x
  2. Step 2: Convert to fraction form
    17,545.76/24,215.62 = 11,170.31/x
  3. Step 3: Cross multiply
    17,545.76x = 24,215.62 × 11,170.31
  4. Step 4: Simplify right side
    17,545.76x = 270,496,027.09
  5. Step 5: Solve for x
    x = 270,496,027.09/17,545.76
  6. Step 6: Final answer
    x = 15,416.60

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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.