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Finding the Fourth Proportional to 27,813.98, 38,377.54 and 15,881.20

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Solution

The fourth proportional to 27,813.98, 38,377.54 and 15,881.20 is: 21,912.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,813.98 : 38,377.54 = 15,881.20 : x
  2. Step 2: Convert to fraction form
    27,813.98/38,377.54 = 15,881.20/x
  3. Step 3: Cross multiply
    27,813.98x = 38,377.54 × 15,881.20
  4. Step 4: Simplify right side
    27,813.98x = 609,481,388.25
  5. Step 5: Solve for x
    x = 609,481,388.25/27,813.98
  6. Step 6: Final answer
    x = 21,912.77

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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.