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Finding the Fourth Proportional to 27,669.65, 38,183.94 and 15,732.98

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Solution

The fourth proportional to 27,669.65, 38,183.94 and 15,732.98 is: 21,711.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,669.65 : 38,183.94 = 15,732.98 : x
  2. Step 2: Convert to fraction form
    27,669.65/38,183.94 = 15,732.98/x
  3. Step 3: Cross multiply
    27,669.65x = 38,183.94 × 15,732.98
  4. Step 4: Simplify right side
    27,669.65x = 600,747,265.02
  5. Step 5: Solve for x
    x = 600,747,265.02/27,669.65
  6. Step 6: Final answer
    x = 21,711.42

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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.