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Finding the Fourth Proportional to 19,777.20, 27,291.60 and 10,824

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Solution

The fourth proportional to 19,777.20, 27,291.60 and 10,824 is: 14,936.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,777.20 : 27,291.60 = 10,824 : x
  2. Step 2: Convert to fraction form
    19,777.20/27,291.60 = 10,824/x
  3. Step 3: Cross multiply
    19,777.20x = 27,291.60 × 10,824
  4. Step 4: Simplify right side
    19,777.20x = 295,404,278.40
  5. Step 5: Solve for x
    x = 295,404,278.40/19,777.20
  6. Step 6: Final answer
    x = 14,936.61

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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.