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Finding the Fourth Proportional to 16,261.57, 22,442.31 and 9,189.34

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Solution

The fourth proportional to 16,261.57, 22,442.31 and 9,189.34 is: 12,682.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,261.57 : 22,442.31 = 9,189.34 : x
  2. Step 2: Convert to fraction form
    16,261.57/22,442.31 = 9,189.34/x
  3. Step 3: Cross multiply
    16,261.57x = 22,442.31 × 9,189.34
  4. Step 4: Simplify right side
    16,261.57x = 206,230,016.98
  5. Step 5: Solve for x
    x = 206,230,016.98/16,261.57
  6. Step 6: Final answer
    x = 12,682.05

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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.