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Finding the Fourth Proportional to 26,349, 39,523.53 and 10,766.61

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Solution

The fourth proportional to 26,349, 39,523.53 and 10,766.61 is: 16,149.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,349 : 39,523.53 = 10,766.61 : x
  2. Step 2: Convert to fraction form
    26,349/39,523.53 = 10,766.61/x
  3. Step 3: Cross multiply
    26,349x = 39,523.53 × 10,766.61
  4. Step 4: Simplify right side
    26,349x = 425,534,433.33
  5. Step 5: Solve for x
    x = 425,534,433.33/26,349
  6. Step 6: Final answer
    x = 16,149.93

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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.