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Finding the Fourth Proportional to 19,753.20, 27,259.76 and 11,796.12

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Solution

The fourth proportional to 19,753.20, 27,259.76 and 11,796.12 is: 16,278.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,753.20 : 27,259.76 = 11,796.12 : x
  2. Step 2: Convert to fraction form
    19,753.20/27,259.76 = 11,796.12/x
  3. Step 3: Cross multiply
    19,753.20x = 27,259.76 × 11,796.12
  4. Step 4: Simplify right side
    19,753.20x = 321,559,400.13
  5. Step 5: Solve for x
    x = 321,559,400.13/19,753.20
  6. Step 6: Final answer
    x = 16,278.85

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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.