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Finding the Fourth Proportional to 20,343.14, 30,507.62 and 9,668.24

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Solution

The fourth proportional to 20,343.14, 30,507.62 and 9,668.24 is: 14,498.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,343.14 : 30,507.62 = 9,668.24 : x
  2. Step 2: Convert to fraction form
    20,343.14/30,507.62 = 9,668.24/x
  3. Step 3: Cross multiply
    20,343.14x = 30,507.62 × 9,668.24
  4. Step 4: Simplify right side
    20,343.14x = 294,954,991.99
  5. Step 5: Solve for x
    x = 294,954,991.99/20,343.14
  6. Step 6: Final answer
    x = 14,498.99

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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.