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Finding the Fourth Proportional to 26,164.20, 39,232.86 and 7,693.80

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Solution

The fourth proportional to 26,164.20, 39,232.86 and 7,693.80 is: 11,536.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,164.20 : 39,232.86 = 7,693.80 : x
  2. Step 2: Convert to fraction form
    26,164.20/39,232.86 = 7,693.80/x
  3. Step 3: Cross multiply
    26,164.20x = 39,232.86 × 7,693.80
  4. Step 4: Simplify right side
    26,164.20x = 301,849,778.27
  5. Step 5: Solve for x
    x = 301,849,778.27/26,164.20
  6. Step 6: Final answer
    x = 11,536.75

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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.