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Finding the Fourth Proportional to 26,200.56, 39,262.77 and 12,164.88

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Solution

The fourth proportional to 26,200.56, 39,262.77 and 12,164.88 is: 18,229.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,200.56 : 39,262.77 = 12,164.88 : x
  2. Step 2: Convert to fraction form
    26,200.56/39,262.77 = 12,164.88/x
  3. Step 3: Cross multiply
    26,200.56x = 39,262.77 × 12,164.88
  4. Step 4: Simplify right side
    26,200.56x = 477,626,885.52
  5. Step 5: Solve for x
    x = 477,626,885.52/26,200.56
  6. Step 6: Final answer
    x = 18,229.64

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