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Finding the Fourth Proportional to 12,263.91, 16,930.19 and 8,229.29

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Solution

The fourth proportional to 12,263.91, 16,930.19 and 8,229.29 is: 11,360.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,263.91 : 16,930.19 = 8,229.29 : x
  2. Step 2: Convert to fraction form
    12,263.91/16,930.19 = 8,229.29/x
  3. Step 3: Cross multiply
    12,263.91x = 16,930.19 × 8,229.29
  4. Step 4: Simplify right side
    12,263.91x = 139,323,317.47
  5. Step 5: Solve for x
    x = 139,323,317.47/12,263.91
  6. Step 6: Final answer
    x = 11,360.43

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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.