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Finding the Fourth Proportional to 27,766.74, 38,305.74 and 17,689.71

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Solution

The fourth proportional to 27,766.74, 38,305.74 and 17,689.71 is: 24,403.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,766.74 : 38,305.74 = 17,689.71 : x
  2. Step 2: Convert to fraction form
    27,766.74/38,305.74 = 17,689.71/x
  3. Step 3: Cross multiply
    27,766.74x = 38,305.74 × 17,689.71
  4. Step 4: Simplify right side
    27,766.74x = 677,617,431.94
  5. Step 5: Solve for x
    x = 677,617,431.94/27,766.74
  6. Step 6: Final answer
    x = 24,403.92

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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.