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Finding the Fourth Proportional to 20,102.77, 30,157.53 and 8,416.90

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Solution

The fourth proportional to 20,102.77, 30,157.53 and 8,416.90 is: 12,626.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,102.77 : 30,157.53 = 8,416.90 : x
  2. Step 2: Convert to fraction form
    20,102.77/30,157.53 = 8,416.90/x
  3. Step 3: Cross multiply
    20,102.77x = 30,157.53 × 8,416.90
  4. Step 4: Simplify right side
    20,102.77x = 253,832,914.26
  5. Step 5: Solve for x
    x = 253,832,914.26/20,102.77
  6. Step 6: Final answer
    x = 12,626.76

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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.