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Finding the Fourth Proportional to 20,100.64, 30,139.44 and 7,774.24

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Solution

The fourth proportional to 20,100.64, 30,139.44 and 7,774.24 is: 11,656.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,100.64 : 30,139.44 = 7,774.24 : x
  2. Step 2: Convert to fraction form
    20,100.64/30,139.44 = 7,774.24/x
  3. Step 3: Cross multiply
    20,100.64x = 30,139.44 × 7,774.24
  4. Step 4: Simplify right side
    20,100.64x = 234,311,240.03
  5. Step 5: Solve for x
    x = 234,311,240.03/20,100.64
  6. Step 6: Final answer
    x = 11,656.90

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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.