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Finding the Fourth Proportional to 27,546.75, 38,014.52 and 16,368.75

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Solution

The fourth proportional to 27,546.75, 38,014.52 and 16,368.75 is: 22,588.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,546.75 : 38,014.52 = 16,368.75 : x
  2. Step 2: Convert to fraction form
    27,546.75/38,014.52 = 16,368.75/x
  3. Step 3: Cross multiply
    27,546.75x = 38,014.52 × 16,368.75
  4. Step 4: Simplify right side
    27,546.75x = 622,250,092.41
  5. Step 5: Solve for x
    x = 622,250,092.41/27,546.75
  6. Step 6: Final answer
    x = 22,588.88

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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.