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Finding the Fourth Proportional to 21,781.96, 30,076.05 and 16,738.18

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Solution

The fourth proportional to 21,781.96, 30,076.05 and 16,738.18 is: 23,111.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,781.96 : 30,076.05 = 16,738.18 : x
  2. Step 2: Convert to fraction form
    21,781.96/30,076.05 = 16,738.18/x
  3. Step 3: Cross multiply
    21,781.96x = 30,076.05 × 16,738.18
  4. Step 4: Simplify right side
    21,781.96x = 503,418,338.59
  5. Step 5: Solve for x
    x = 503,418,338.59/21,781.96
  6. Step 6: Final answer
    x = 23,111.71

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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.