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Finding the Fourth Proportional to 27,757.16, 41,649.40 and 12,963.93

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Solution

The fourth proportional to 27,757.16, 41,649.40 and 12,963.93 is: 19,452.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,757.16 : 41,649.40 = 12,963.93 : x
  2. Step 2: Convert to fraction form
    27,757.16/41,649.40 = 12,963.93/x
  3. Step 3: Cross multiply
    27,757.16x = 41,649.40 × 12,963.93
  4. Step 4: Simplify right side
    27,757.16x = 539,939,906.14
  5. Step 5: Solve for x
    x = 539,939,906.14/27,757.16
  6. Step 6: Final answer
    x = 19,452.27

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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.