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Finding the Fourth Proportional to 17,657.16, 24,371.31 and 10,105.80

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Solution

The fourth proportional to 17,657.16, 24,371.31 and 10,105.80 is: 13,948.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,657.16 : 24,371.31 = 10,105.80 : x
  2. Step 2: Convert to fraction form
    17,657.16/24,371.31 = 10,105.80/x
  3. Step 3: Cross multiply
    17,657.16x = 24,371.31 × 10,105.80
  4. Step 4: Simplify right side
    17,657.16x = 246,291,584.60
  5. Step 5: Solve for x
    x = 246,291,584.60/17,657.16
  6. Step 6: Final answer
    x = 13,948.54

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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.