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Finding the Fourth Proportional to 21,314.78, 29,414.42 and 11,883.14

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Solution

The fourth proportional to 21,314.78, 29,414.42 and 11,883.14 is: 16,398.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,314.78 : 29,414.42 = 11,883.14 : x
  2. Step 2: Convert to fraction form
    21,314.78/29,414.42 = 11,883.14/x
  3. Step 3: Cross multiply
    21,314.78x = 29,414.42 × 11,883.14
  4. Step 4: Simplify right side
    21,314.78x = 349,535,670.88
  5. Step 5: Solve for x
    x = 349,535,670.88/21,314.78
  6. Step 6: Final answer
    x = 16,398.75

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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.