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Finding the Fourth Proportional to 26,630.56, 39,949.68 and 8,164

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Solution

The fourth proportional to 26,630.56, 39,949.68 and 8,164 is: 12,247.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,630.56 : 39,949.68 = 8,164 : x
  2. Step 2: Convert to fraction form
    26,630.56/39,949.68 = 8,164/x
  3. Step 3: Cross multiply
    26,630.56x = 39,949.68 × 8,164
  4. Step 4: Simplify right side
    26,630.56x = 326,149,187.52
  5. Step 5: Solve for x
    x = 326,149,187.52/26,630.56
  6. Step 6: Final answer
    x = 12,247.18

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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.