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Finding the Fourth Proportional to 12,381.93, 18,563.17 and 8,474.49

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Solution

The fourth proportional to 12,381.93, 18,563.17 and 8,474.49 is: 12,705.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,381.93 : 18,563.17 = 8,474.49 : x
  2. Step 2: Convert to fraction form
    12,381.93/18,563.17 = 8,474.49/x
  3. Step 3: Cross multiply
    12,381.93x = 18,563.17 × 8,474.49
  4. Step 4: Simplify right side
    12,381.93x = 157,313,398.53
  5. Step 5: Solve for x
    x = 157,313,398.53/12,381.93
  6. Step 6: Final answer
    x = 12,705.08

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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.