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Finding the Fourth Proportional to 19,781.42, 27,297.41 and 11,824.38

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Solution

The fourth proportional to 19,781.42, 27,297.41 and 11,824.38 is: 16,317.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,781.42 : 27,297.41 = 11,824.38 : x
  2. Step 2: Convert to fraction form
    19,781.42/27,297.41 = 11,824.38/x
  3. Step 3: Cross multiply
    19,781.42x = 27,297.41 × 11,824.38
  4. Step 4: Simplify right side
    19,781.42x = 322,774,889.73
  5. Step 5: Solve for x
    x = 322,774,889.73/19,781.42
  6. Step 6: Final answer
    x = 16,317.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.