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Finding the Fourth Proportional to 27,674.49, 38,190.34 and 15,737.56

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Solution

The fourth proportional to 27,674.49, 38,190.34 and 15,737.56 is: 21,717.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,674.49 : 38,190.34 = 15,737.56 : x
  2. Step 2: Convert to fraction form
    27,674.49/38,190.34 = 15,737.56/x
  3. Step 3: Cross multiply
    27,674.49x = 38,190.34 × 15,737.56
  4. Step 4: Simplify right side
    27,674.49x = 601,022,767.17
  5. Step 5: Solve for x
    x = 601,022,767.17/27,674.49
  6. Step 6: Final answer
    x = 21,717.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.