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Finding the Fourth Proportional to 19,781.47, 27,299.16 and 11,284.97

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Solution

The fourth proportional to 19,781.47, 27,299.16 and 11,284.97 is: 15,573.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,781.47 : 27,299.16 = 11,284.97 : x
  2. Step 2: Convert to fraction form
    19,781.47/27,299.16 = 11,284.97/x
  3. Step 3: Cross multiply
    19,781.47x = 27,299.16 × 11,284.97
  4. Step 4: Simplify right side
    19,781.47x = 308,070,218.69
  5. Step 5: Solve for x
    x = 308,070,218.69/19,781.47
  6. Step 6: Final answer
    x = 15,573.68

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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.