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Finding the Fourth Proportional to 19,727.68, 27,224.64 and 11,230.24

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Solution

The fourth proportional to 19,727.68, 27,224.64 and 11,230.24 is: 15,497.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,727.68 : 27,224.64 = 11,230.24 : x
  2. Step 2: Convert to fraction form
    19,727.68/27,224.64 = 11,230.24/x
  3. Step 3: Cross multiply
    19,727.68x = 27,224.64 × 11,230.24
  4. Step 4: Simplify right side
    19,727.68x = 305,739,241.11
  5. Step 5: Solve for x
    x = 305,739,241.11/19,727.68
  6. Step 6: Final answer
    x = 15,497.98

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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.