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Finding the Fourth Proportional to 17,857.56, 26,786.10 and 6,013.92

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Solution

The fourth proportional to 17,857.56, 26,786.10 and 6,013.92 is: 9,020.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,857.56 : 26,786.10 = 6,013.92 : x
  2. Step 2: Convert to fraction form
    17,857.56/26,786.10 = 6,013.92/x
  3. Step 3: Cross multiply
    17,857.56x = 26,786.10 × 6,013.92
  4. Step 4: Simplify right side
    17,857.56x = 161,089,462.51
  5. Step 5: Solve for x
    x = 161,089,462.51/17,857.56
  6. Step 6: Final answer
    x = 9,020.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.