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Finding the Fourth Proportional to 27,542.82, 41,307.84 and 13,488.83

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Solution

The fourth proportional to 27,542.82, 41,307.84 and 13,488.83 is: 20,230.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,542.82 : 41,307.84 = 13,488.83 : x
  2. Step 2: Convert to fraction form
    27,542.82/41,307.84 = 13,488.83/x
  3. Step 3: Cross multiply
    27,542.82x = 41,307.84 × 13,488.83
  4. Step 4: Simplify right side
    27,542.82x = 557,194,224.89
  5. Step 5: Solve for x
    x = 557,194,224.89/27,542.82
  6. Step 6: Final answer
    x = 20,230.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.