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Finding the Fourth Proportional to 17,235.46, 23,793.78 and 10,164.16

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Solution

The fourth proportional to 17,235.46, 23,793.78 and 10,164.16 is: 14,031.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,235.46 : 23,793.78 = 10,164.16 : x
  2. Step 2: Convert to fraction form
    17,235.46/23,793.78 = 10,164.16/x
  3. Step 3: Cross multiply
    17,235.46x = 23,793.78 × 10,164.16
  4. Step 4: Simplify right side
    17,235.46x = 241,843,786.92
  5. Step 5: Solve for x
    x = 241,843,786.92/17,235.46
  6. Step 6: Final answer
    x = 14,031.76

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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.