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Finding the Fourth Proportional to 26,523.62, 39,784.38 and 8,993.48

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Solution

The fourth proportional to 26,523.62, 39,784.38 and 8,993.48 is: 13,489.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,523.62 : 39,784.38 = 8,993.48 : x
  2. Step 2: Convert to fraction form
    26,523.62/39,784.38 = 8,993.48/x
  3. Step 3: Cross multiply
    26,523.62x = 39,784.38 × 8,993.48
  4. Step 4: Simplify right side
    26,523.62x = 357,800,025.84
  5. Step 5: Solve for x
    x = 357,800,025.84/26,523.62
  6. Step 6: Final answer
    x = 13,489.86

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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.