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Finding the Fourth Proportional to 12,532.62, 18,796.82 and 5,869.82

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Solution

The fourth proportional to 12,532.62, 18,796.82 and 5,869.82 is: 8,803.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,532.62 : 18,796.82 = 5,869.82 : x
  2. Step 2: Convert to fraction form
    12,532.62/18,796.82 = 5,869.82/x
  3. Step 3: Cross multiply
    12,532.62x = 18,796.82 × 5,869.82
  4. Step 4: Simplify right side
    12,532.62x = 110,333,855.99
  5. Step 5: Solve for x
    x = 110,333,855.99/12,532.62
  6. Step 6: Final answer
    x = 8,803.73

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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.