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Finding the Fourth Proportional to 16,190.26, 22,342.98 and 9,116.56

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Solution

The fourth proportional to 16,190.26, 22,342.98 and 9,116.56 is: 12,581.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,190.26 : 22,342.98 = 9,116.56 : x
  2. Step 2: Convert to fraction form
    16,190.26/22,342.98 = 9,116.56/x
  3. Step 3: Cross multiply
    16,190.26x = 22,342.98 × 9,116.56
  4. Step 4: Simplify right side
    16,190.26x = 203,691,117.75
  5. Step 5: Solve for x
    x = 203,691,117.75/16,190.26
  6. Step 6: Final answer
    x = 12,581.09

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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.