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Finding the Fourth Proportional to 20,668.50, 31,002.75 and 5,086.13

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Solution

The fourth proportional to 20,668.50, 31,002.75 and 5,086.13 is: 7,629.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,668.50 : 31,002.75 = 5,086.13 : x
  2. Step 2: Convert to fraction form
    20,668.50/31,002.75 = 5,086.13/x
  3. Step 3: Cross multiply
    20,668.50x = 31,002.75 × 5,086.13
  4. Step 4: Simplify right side
    20,668.50x = 157,683,861.84
  5. Step 5: Solve for x
    x = 157,683,861.84/20,668.50
  6. Step 6: Final answer
    x = 7,629.19

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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.