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Finding the Fourth Proportional to 27,182.98, 40,775.64 and 7,463.44

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Solution

The fourth proportional to 27,182.98, 40,775.64 and 7,463.44 is: 11,195.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,182.98 : 40,775.64 = 7,463.44 : x
  2. Step 2: Convert to fraction form
    27,182.98/40,775.64 = 7,463.44/x
  3. Step 3: Cross multiply
    27,182.98x = 40,775.64 × 7,463.44
  4. Step 4: Simplify right side
    27,182.98x = 304,326,542.60
  5. Step 5: Solve for x
    x = 304,326,542.60/27,182.98
  6. Step 6: Final answer
    x = 11,195.48

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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.