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Finding the Fourth Proportional to 20,422.68, 30,663.18 and 11,668.20

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Solution

The fourth proportional to 20,422.68, 30,663.18 and 11,668.20 is: 17,518.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,422.68 : 30,663.18 = 11,668.20 : x
  2. Step 2: Convert to fraction form
    20,422.68/30,663.18 = 11,668.20/x
  3. Step 3: Cross multiply
    20,422.68x = 30,663.18 × 11,668.20
  4. Step 4: Simplify right side
    20,422.68x = 357,784,116.88
  5. Step 5: Solve for x
    x = 357,784,116.88/20,422.68
  6. Step 6: Final answer
    x = 17,518.96

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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.