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Finding the Fourth Proportional to 18,824, 25,977.12 and 10,442.24

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Solution

The fourth proportional to 18,824, 25,977.12 and 10,442.24 is: 14,410.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,824 : 25,977.12 = 10,442.24 : x
  2. Step 2: Convert to fraction form
    18,824/25,977.12 = 10,442.24/x
  3. Step 3: Cross multiply
    18,824x = 25,977.12 × 10,442.24
  4. Step 4: Simplify right side
    18,824x = 271,259,321.55
  5. Step 5: Solve for x
    x = 271,259,321.55/18,824
  6. Step 6: Final answer
    x = 14,410.29

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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.