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Finding the Fourth Proportional to 20,122.69, 30,177.20 and 6,971.99

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Solution

The fourth proportional to 20,122.69, 30,177.20 and 6,971.99 is: 10,455.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,122.69 : 30,177.20 = 6,971.99 : x
  2. Step 2: Convert to fraction form
    20,122.69/30,177.20 = 6,971.99/x
  3. Step 3: Cross multiply
    20,122.69x = 30,177.20 × 6,971.99
  4. Step 4: Simplify right side
    20,122.69x = 210,395,136.63
  5. Step 5: Solve for x
    x = 210,395,136.63/20,122.69
  6. Step 6: Final answer
    x = 10,455.62

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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.