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Finding the Fourth Proportional to 12,105.86, 16,705.44 and 6,800.49

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Solution

The fourth proportional to 12,105.86, 16,705.44 and 6,800.49 is: 9,384.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,105.86 : 16,705.44 = 6,800.49 : x
  2. Step 2: Convert to fraction form
    12,105.86/16,705.44 = 6,800.49/x
  3. Step 3: Cross multiply
    12,105.86x = 16,705.44 × 6,800.49
  4. Step 4: Simplify right side
    12,105.86x = 113,605,177.67
  5. Step 5: Solve for x
    x = 113,605,177.67/12,105.86
  6. Step 6: Final answer
    x = 9,384.32

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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.