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Finding the Fourth Proportional to 17,611.75, 24,306.38 and 10,159.75

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Solution

The fourth proportional to 17,611.75, 24,306.38 and 10,159.75 is: 14,021.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,611.75 : 24,306.38 = 10,159.75 : x
  2. Step 2: Convert to fraction form
    17,611.75/24,306.38 = 10,159.75/x
  3. Step 3: Cross multiply
    17,611.75x = 24,306.38 × 10,159.75
  4. Step 4: Simplify right side
    17,611.75x = 246,946,744.21
  5. Step 5: Solve for x
    x = 246,946,744.21/17,611.75
  6. Step 6: Final answer
    x = 14,021.70

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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.