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Finding the Fourth Proportional to 20,136.59, 30,213.89 and 10,270.67

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Solution

The fourth proportional to 20,136.59, 30,213.89 and 10,270.67 is: 15,410.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,136.59 : 30,213.89 = 10,270.67 : x
  2. Step 2: Convert to fraction form
    20,136.59/30,213.89 = 10,270.67/x
  3. Step 3: Cross multiply
    20,136.59x = 30,213.89 × 10,270.67
  4. Step 4: Simplify right side
    20,136.59x = 310,316,842.25
  5. Step 5: Solve for x
    x = 310,316,842.25/20,136.59
  6. Step 6: Final answer
    x = 15,410.60

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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.