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Finding the Fourth Proportional to 17,146.67, 25,723.20 and 7,787.34

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Solution

The fourth proportional to 17,146.67, 25,723.20 and 7,787.34 is: 11,682.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,146.67 : 25,723.20 = 7,787.34 : x
  2. Step 2: Convert to fraction form
    17,146.67/25,723.20 = 7,787.34/x
  3. Step 3: Cross multiply
    17,146.67x = 25,723.20 × 7,787.34
  4. Step 4: Simplify right side
    17,146.67x = 200,315,304.29
  5. Step 5: Solve for x
    x = 200,315,304.29/17,146.67
  6. Step 6: Final answer
    x = 11,682.46

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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.