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Finding the Fourth Proportional to 27,728.97, 38,282.94 and 18,047.67

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Solution

The fourth proportional to 27,728.97, 38,282.94 and 18,047.67 is: 24,916.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,728.97 : 38,282.94 = 18,047.67 : x
  2. Step 2: Convert to fraction form
    27,728.97/38,282.94 = 18,047.67/x
  3. Step 3: Cross multiply
    27,728.97x = 38,282.94 × 18,047.67
  4. Step 4: Simplify right side
    27,728.97x = 690,917,867.75
  5. Step 5: Solve for x
    x = 690,917,867.75/27,728.97
  6. Step 6: Final answer
    x = 24,916.82

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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.