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Finding the Fourth Proportional to 13,321.74, 18,383.30 and 8,285.82

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Solution

The fourth proportional to 13,321.74, 18,383.30 and 8,285.82 is: 11,433.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,321.74 : 18,383.30 = 8,285.82 : x
  2. Step 2: Convert to fraction form
    13,321.74/18,383.30 = 8,285.82/x
  3. Step 3: Cross multiply
    13,321.74x = 18,383.30 × 8,285.82
  4. Step 4: Simplify right side
    13,321.74x = 152,320,673.38
  5. Step 5: Solve for x
    x = 152,320,673.38/13,321.74
  6. Step 6: Final answer
    x = 11,433.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.