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Finding the Fourth Proportional to 21,331.74, 29,447.22 and 13,781.73

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Solution

The fourth proportional to 21,331.74, 29,447.22 and 13,781.73 is: 19,024.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,331.74 : 29,447.22 = 13,781.73 : x
  2. Step 2: Convert to fraction form
    21,331.74/29,447.22 = 13,781.73/x
  3. Step 3: Cross multiply
    21,331.74x = 29,447.22 × 13,781.73
  4. Step 4: Simplify right side
    21,331.74x = 405,833,635.29
  5. Step 5: Solve for x
    x = 405,833,635.29/21,331.74
  6. Step 6: Final answer
    x = 19,024.87

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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.