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Finding the Fourth Proportional to 16,849.80, 23,249.16 and 9,775.32

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Solution

The fourth proportional to 16,849.80, 23,249.16 and 9,775.32 is: 13,487.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,849.80 : 23,249.16 = 9,775.32 : x
  2. Step 2: Convert to fraction form
    16,849.80/23,249.16 = 9,775.32/x
  3. Step 3: Cross multiply
    16,849.80x = 23,249.16 × 9,775.32
  4. Step 4: Simplify right side
    16,849.80x = 227,267,978.73
  5. Step 5: Solve for x
    x = 227,267,978.73/16,849.80
  6. Step 6: Final answer
    x = 13,487.87

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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.