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Finding the Fourth Proportional to 20,994.24, 31,496.88 and 7,668.42

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Solution

The fourth proportional to 20,994.24, 31,496.88 and 7,668.42 is: 11,504.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,994.24 : 31,496.88 = 7,668.42 : x
  2. Step 2: Convert to fraction form
    20,994.24/31,496.88 = 7,668.42/x
  3. Step 3: Cross multiply
    20,994.24x = 31,496.88 × 7,668.42
  4. Step 4: Simplify right side
    20,994.24x = 241,531,304.53
  5. Step 5: Solve for x
    x = 241,531,304.53/20,994.24
  6. Step 6: Final answer
    x = 11,504.65

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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.