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Finding the Fourth Proportional to 17,858.96, 26,787.04 and 6,764.64

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Solution

The fourth proportional to 17,858.96, 26,787.04 and 6,764.64 is: 10,146.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,858.96 : 26,787.04 = 6,764.64 : x
  2. Step 2: Convert to fraction form
    17,858.96/26,787.04 = 6,764.64/x
  3. Step 3: Cross multiply
    17,858.96x = 26,787.04 × 6,764.64
  4. Step 4: Simplify right side
    17,858.96x = 181,204,682.27
  5. Step 5: Solve for x
    x = 181,204,682.27/17,858.96
  6. Step 6: Final answer
    x = 10,146.43

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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.