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Finding the Fourth Proportional to 16,211.66, 22,370.19 and 9,137.66

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Solution

The fourth proportional to 16,211.66, 22,370.19 and 9,137.66 is: 12,608.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,211.66 : 22,370.19 = 9,137.66 : x
  2. Step 2: Convert to fraction form
    16,211.66/22,370.19 = 9,137.66/x
  3. Step 3: Cross multiply
    16,211.66x = 22,370.19 × 9,137.66
  4. Step 4: Simplify right side
    16,211.66x = 204,411,190.36
  5. Step 5: Solve for x
    x = 204,411,190.36/16,211.66
  6. Step 6: Final answer
    x = 12,608.90

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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.