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Finding the Fourth Proportional to 20,164.61, 30,245.40 and 8,157.53

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Solution

The fourth proportional to 20,164.61, 30,245.40 and 8,157.53 is: 12,235.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,164.61 : 30,245.40 = 8,157.53 : x
  2. Step 2: Convert to fraction form
    20,164.61/30,245.40 = 8,157.53/x
  3. Step 3: Cross multiply
    20,164.61x = 30,245.40 × 8,157.53
  4. Step 4: Simplify right side
    20,164.61x = 246,727,606.64
  5. Step 5: Solve for x
    x = 246,727,606.64/20,164.61
  6. Step 6: Final answer
    x = 12,235.67

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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.