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Finding the Fourth Proportional to 16,261.23, 22,441.82 and 9,189.12

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Solution

The fourth proportional to 16,261.23, 22,441.82 and 9,189.12 is: 12,681.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,261.23 : 22,441.82 = 9,189.12 : x
  2. Step 2: Convert to fraction form
    16,261.23/22,441.82 = 9,189.12/x
  3. Step 3: Cross multiply
    16,261.23x = 22,441.82 × 9,189.12
  4. Step 4: Simplify right side
    16,261.23x = 206,220,531.05
  5. Step 5: Solve for x
    x = 206,220,531.05/16,261.23
  6. Step 6: Final answer
    x = 12,681.73

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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.