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Finding the Fourth Proportional to 19,727.50, 27,224.76 and 11,344

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Solution

The fourth proportional to 19,727.50, 27,224.76 and 11,344 is: 15,655.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,727.50 : 27,224.76 = 11,344 : x
  2. Step 2: Convert to fraction form
    19,727.50/27,224.76 = 11,344/x
  3. Step 3: Cross multiply
    19,727.50x = 27,224.76 × 11,344
  4. Step 4: Simplify right side
    19,727.50x = 308,837,677.44
  5. Step 5: Solve for x
    x = 308,837,677.44/19,727.50
  6. Step 6: Final answer
    x = 15,655.19

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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.