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Finding the Fourth Proportional to 20,536.76, 30,807.02 and 5,745.63

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Solution

The fourth proportional to 20,536.76, 30,807.02 and 5,745.63 is: 8,618.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,536.76 : 30,807.02 = 5,745.63 : x
  2. Step 2: Convert to fraction form
    20,536.76/30,807.02 = 5,745.63/x
  3. Step 3: Cross multiply
    20,536.76x = 30,807.02 × 5,745.63
  4. Step 4: Simplify right side
    20,536.76x = 177,005,738.32
  5. Step 5: Solve for x
    x = 177,005,738.32/20,536.76
  6. Step 6: Final answer
    x = 8,618.97

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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.