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Finding the Fourth Proportional to 27,865.82, 38,468.05 and 17,661.94

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Solution

The fourth proportional to 27,865.82, 38,468.05 and 17,661.94 is: 24,381.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,865.82 : 38,468.05 = 17,661.94 : x
  2. Step 2: Convert to fraction form
    27,865.82/38,468.05 = 17,661.94/x
  3. Step 3: Cross multiply
    27,865.82x = 38,468.05 × 17,661.94
  4. Step 4: Simplify right side
    27,865.82x = 679,420,250.69
  5. Step 5: Solve for x
    x = 679,420,250.69/27,865.82
  6. Step 6: Final answer
    x = 24,381.85

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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.