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Finding the Fourth Proportional to 16,825.78, 23,203.83 and 13,297.42

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Solution

The fourth proportional to 16,825.78, 23,203.83 and 13,297.42 is: 18,338.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,825.78 : 23,203.83 = 13,297.42 : x
  2. Step 2: Convert to fraction form
    16,825.78/23,203.83 = 13,297.42/x
  3. Step 3: Cross multiply
    16,825.78x = 23,203.83 × 13,297.42
  4. Step 4: Simplify right side
    16,825.78x = 308,551,073.12
  5. Step 5: Solve for x
    x = 308,551,073.12/16,825.78
  6. Step 6: Final answer
    x = 18,338.00

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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.