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Finding the Fourth Proportional to 20,128.68, 30,192.99 and 7,645.77

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Solution

The fourth proportional to 20,128.68, 30,192.99 and 7,645.77 is: 11,468.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,128.68 : 30,192.99 = 7,645.77 : x
  2. Step 2: Convert to fraction form
    20,128.68/30,192.99 = 7,645.77/x
  3. Step 3: Cross multiply
    20,128.68x = 30,192.99 × 7,645.77
  4. Step 4: Simplify right side
    20,128.68x = 230,848,657.15
  5. Step 5: Solve for x
    x = 230,848,657.15/20,128.68
  6. Step 6: Final answer
    x = 11,468.64

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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.