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Finding the Fourth Proportional to 27,877.35, 38,453.25 and 16,538.82

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Solution

The fourth proportional to 27,877.35, 38,453.25 and 16,538.82 is: 22,813.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,877.35 : 38,453.25 = 16,538.82 : x
  2. Step 2: Convert to fraction form
    27,877.35/38,453.25 = 16,538.82/x
  3. Step 3: Cross multiply
    27,877.35x = 38,453.25 × 16,538.82
  4. Step 4: Simplify right side
    27,877.35x = 635,971,105.20
  5. Step 5: Solve for x
    x = 635,971,105.20/27,877.35
  6. Step 6: Final answer
    x = 22,813.18

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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.