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Finding the Fourth Proportional to 12,195.86, 16,819.74 and 7,945.32

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Solution

The fourth proportional to 12,195.86, 16,819.74 and 7,945.32 is: 10,957.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,195.86 : 16,819.74 = 7,945.32 : x
  2. Step 2: Convert to fraction form
    12,195.86/16,819.74 = 7,945.32/x
  3. Step 3: Cross multiply
    12,195.86x = 16,819.74 × 7,945.32
  4. Step 4: Simplify right side
    12,195.86x = 133,638,216.62
  5. Step 5: Solve for x
    x = 133,638,216.62/12,195.86
  6. Step 6: Final answer
    x = 10,957.68

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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.