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Finding the Fourth Proportional to 12,166.64, 16,789.28 and 6,861.14

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Solution

The fourth proportional to 12,166.64, 16,789.28 and 6,861.14 is: 9,467.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,166.64 : 16,789.28 = 6,861.14 : x
  2. Step 2: Convert to fraction form
    12,166.64/16,789.28 = 6,861.14/x
  3. Step 3: Cross multiply
    12,166.64x = 16,789.28 × 6,861.14
  4. Step 4: Simplify right side
    12,166.64x = 115,193,545.29
  5. Step 5: Solve for x
    x = 115,193,545.29/12,166.64
  6. Step 6: Final answer
    x = 9,467.98

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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.