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Finding the Fourth Proportional to 20,157.96, 30,206.14 and 8,464.76

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Solution

The fourth proportional to 20,157.96, 30,206.14 and 8,464.76 is: 12,684.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,157.96 : 30,206.14 = 8,464.76 : x
  2. Step 2: Convert to fraction form
    20,157.96/30,206.14 = 8,464.76/x
  3. Step 3: Cross multiply
    20,157.96x = 30,206.14 × 8,464.76
  4. Step 4: Simplify right side
    20,157.96x = 255,687,725.63
  5. Step 5: Solve for x
    x = 255,687,725.63/20,157.96
  6. Step 6: Final answer
    x = 12,684.21

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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.