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Finding the Fourth Proportional to 20,136, 30,174.80 and 11,352.24

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Solution

The fourth proportional to 20,136, 30,174.80 and 11,352.24 is: 17,011.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,136 : 30,174.80 = 11,352.24 : x
  2. Step 2: Convert to fraction form
    20,136/30,174.80 = 11,352.24/x
  3. Step 3: Cross multiply
    20,136x = 30,174.80 × 11,352.24
  4. Step 4: Simplify right side
    20,136x = 342,551,571.55
  5. Step 5: Solve for x
    x = 342,551,571.55/20,136
  6. Step 6: Final answer
    x = 17,011.90

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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.