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Finding the Fourth Proportional to 20,407.64, 30,611.44 and 5,618.12

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Solution

The fourth proportional to 20,407.64, 30,611.44 and 5,618.12 is: 8,427.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,407.64 : 30,611.44 = 5,618.12 : x
  2. Step 2: Convert to fraction form
    20,407.64/30,611.44 = 5,618.12/x
  3. Step 3: Cross multiply
    20,407.64x = 30,611.44 × 5,618.12
  4. Step 4: Simplify right side
    20,407.64x = 171,978,743.29
  5. Step 5: Solve for x
    x = 171,978,743.29/20,407.64
  6. Step 6: Final answer
    x = 8,427.17

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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.