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Finding the Fourth Proportional to 17,096.16, 23,592.92 and 10,020.80

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Solution

The fourth proportional to 17,096.16, 23,592.92 and 10,020.80 is: 13,828.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,096.16 : 23,592.92 = 10,020.80 : x
  2. Step 2: Convert to fraction form
    17,096.16/23,592.92 = 10,020.80/x
  3. Step 3: Cross multiply
    17,096.16x = 23,592.92 × 10,020.80
  4. Step 4: Simplify right side
    17,096.16x = 236,419,932.74
  5. Step 5: Solve for x
    x = 236,419,932.74/17,096.16
  6. Step 6: Final answer
    x = 13,828.83

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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.