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Finding the Fourth Proportional to 11,593.44, 17,384.31 and 8,259.78

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Solution

The fourth proportional to 11,593.44, 17,384.31 and 8,259.78 is: 12,385.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,593.44 : 17,384.31 = 8,259.78 : x
  2. Step 2: Convert to fraction form
    11,593.44/17,384.31 = 8,259.78/x
  3. Step 3: Cross multiply
    11,593.44x = 17,384.31 × 8,259.78
  4. Step 4: Simplify right side
    11,593.44x = 143,590,576.05
  5. Step 5: Solve for x
    x = 143,590,576.05/11,593.44
  6. Step 6: Final answer
    x = 12,385.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.