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Finding the Fourth Proportional to 17,611, 24,305.34 and 10,159

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Solution

The fourth proportional to 17,611, 24,305.34 and 10,159 is: 14,020.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,611 : 24,305.34 = 10,159 : x
  2. Step 2: Convert to fraction form
    17,611/24,305.34 = 10,159/x
  3. Step 3: Cross multiply
    17,611x = 24,305.34 × 10,159
  4. Step 4: Simplify right side
    17,611x = 246,917,949.06
  5. Step 5: Solve for x
    x = 246,917,949.06/17,611
  6. Step 6: Final answer
    x = 14,020.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.