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Finding the Fourth Proportional to 17,189.01, 25,787.16 and 5,342.49

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Solution

The fourth proportional to 17,189.01, 25,787.16 and 5,342.49 is: 8,014.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,189.01 : 25,787.16 = 5,342.49 : x
  2. Step 2: Convert to fraction form
    17,189.01/25,787.16 = 5,342.49/x
  3. Step 3: Cross multiply
    17,189.01x = 25,787.16 × 5,342.49
  4. Step 4: Simplify right side
    17,189.01x = 137,767,644.43
  5. Step 5: Solve for x
    x = 137,767,644.43/17,189.01
  6. Step 6: Final answer
    x = 8,014.87

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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.