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Finding the Fourth Proportional to 20,142.34, 30,192.41 and 7,654.57

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Solution

The fourth proportional to 20,142.34, 30,192.41 and 7,654.57 is: 11,473.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,142.34 : 30,192.41 = 7,654.57 : x
  2. Step 2: Convert to fraction form
    20,142.34/30,192.41 = 7,654.57/x
  3. Step 3: Cross multiply
    20,142.34x = 30,192.41 × 7,654.57
  4. Step 4: Simplify right side
    20,142.34x = 231,109,859.47
  5. Step 5: Solve for x
    x = 231,109,859.47/20,142.34
  6. Step 6: Final answer
    x = 11,473.84

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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.