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Finding the Fourth Proportional to 21,165.83, 29,142.34 and 17,972.40

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Solution

The fourth proportional to 21,165.83, 29,142.34 and 17,972.40 is: 24,745.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,165.83 : 29,142.34 = 17,972.40 : x
  2. Step 2: Convert to fraction form
    21,165.83/29,142.34 = 17,972.40/x
  3. Step 3: Cross multiply
    21,165.83x = 29,142.34 × 17,972.40
  4. Step 4: Simplify right side
    21,165.83x = 523,757,791.42
  5. Step 5: Solve for x
    x = 523,757,791.42/21,165.83
  6. Step 6: Final answer
    x = 24,745.44

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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.