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Finding the Fourth Proportional to 20,157.94, 30,238.62 and 5,366.86

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Solution

The fourth proportional to 20,157.94, 30,238.62 and 5,366.86 is: 8,050.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,157.94 : 30,238.62 = 5,366.86 : x
  2. Step 2: Convert to fraction form
    20,157.94/30,238.62 = 5,366.86/x
  3. Step 3: Cross multiply
    20,157.94x = 30,238.62 × 5,366.86
  4. Step 4: Simplify right side
    20,157.94x = 162,286,440.13
  5. Step 5: Solve for x
    x = 162,286,440.13/20,157.94
  6. Step 6: Final answer
    x = 8,050.75

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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.