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Finding the Fourth Proportional to 12,917.87, 17,822.07 and 8,444.20

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Solution

The fourth proportional to 12,917.87, 17,822.07 and 8,444.20 is: 11,650.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,917.87 : 17,822.07 = 8,444.20 : x
  2. Step 2: Convert to fraction form
    12,917.87/17,822.07 = 8,444.20/x
  3. Step 3: Cross multiply
    12,917.87x = 17,822.07 × 8,444.20
  4. Step 4: Simplify right side
    12,917.87x = 150,493,123.49
  5. Step 5: Solve for x
    x = 150,493,123.49/12,917.87
  6. Step 6: Final answer
    x = 11,650.00

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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.