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Finding the Fourth Proportional to 27,800.35, 38,361.84 and 16,469.87

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Solution

The fourth proportional to 27,800.35, 38,361.84 and 16,469.87 is: 22,726.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,800.35 : 38,361.84 = 16,469.87 : x
  2. Step 2: Convert to fraction form
    27,800.35/38,361.84 = 16,469.87/x
  3. Step 3: Cross multiply
    27,800.35x = 38,361.84 × 16,469.87
  4. Step 4: Simplify right side
    27,800.35x = 631,814,264.19
  5. Step 5: Solve for x
    x = 631,814,264.19/27,800.35
  6. Step 6: Final answer
    x = 22,726.85

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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.