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Finding the Fourth Proportional to 17,858.16, 26,787.44 and 6,761.84

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Solution

The fourth proportional to 17,858.16, 26,787.44 and 6,761.84 is: 10,142.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,858.16 : 26,787.44 = 6,761.84 : x
  2. Step 2: Convert to fraction form
    17,858.16/26,787.44 = 6,761.84/x
  3. Step 3: Cross multiply
    17,858.16x = 26,787.44 × 6,761.84
  4. Step 4: Simplify right side
    17,858.16x = 181,132,266.26
  5. Step 5: Solve for x
    x = 181,132,266.26/17,858.16
  6. Step 6: Final answer
    x = 10,142.83

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