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Finding the Fourth Proportional to 27,785.97, 38,346.21 and 16,462.17

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Solution

The fourth proportional to 27,785.97, 38,346.21 and 16,462.17 is: 22,718.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,785.97 : 38,346.21 = 16,462.17 : x
  2. Step 2: Convert to fraction form
    27,785.97/38,346.21 = 16,462.17/x
  3. Step 3: Cross multiply
    27,785.97x = 38,346.21 × 16,462.17
  4. Step 4: Simplify right side
    27,785.97x = 631,261,827.88
  5. Step 5: Solve for x
    x = 631,261,827.88/27,785.97
  6. Step 6: Final answer
    x = 22,718.73

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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.