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Finding the Fourth Proportional to 16,850.31, 23,251.54 and 9,775.36

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Solution

The fourth proportional to 16,850.31, 23,251.54 and 9,775.36 is: 13,488.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,850.31 : 23,251.54 = 9,775.36 : x
  2. Step 2: Convert to fraction form
    16,850.31/23,251.54 = 9,775.36/x
  3. Step 3: Cross multiply
    16,850.31x = 23,251.54 × 9,775.36
  4. Step 4: Simplify right side
    16,850.31x = 227,292,174.05
  5. Step 5: Solve for x
    x = 227,292,174.05/16,850.31
  6. Step 6: Final answer
    x = 13,488.90

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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.