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Finding the Fourth Proportional to 20,142.56, 30,212.88 and 6,101.96

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Solution

The fourth proportional to 20,142.56, 30,212.88 and 6,101.96 is: 9,152.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,142.56 : 30,212.88 = 6,101.96 : x
  2. Step 2: Convert to fraction form
    20,142.56/30,212.88 = 6,101.96/x
  3. Step 3: Cross multiply
    20,142.56x = 30,212.88 × 6,101.96
  4. Step 4: Simplify right side
    20,142.56x = 184,357,785.24
  5. Step 5: Solve for x
    x = 184,357,785.24/20,142.56
  6. Step 6: Final answer
    x = 9,152.65

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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.