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Finding the Fourth Proportional to 12,094.34, 18,142.68 and 4,195.62

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Solution

The fourth proportional to 12,094.34, 18,142.68 and 4,195.62 is: 6,293.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,094.34 : 18,142.68 = 4,195.62 : x
  2. Step 2: Convert to fraction form
    12,094.34/18,142.68 = 4,195.62/x
  3. Step 3: Cross multiply
    12,094.34x = 18,142.68 × 4,195.62
  4. Step 4: Simplify right side
    12,094.34x = 76,119,791.06
  5. Step 5: Solve for x
    x = 76,119,791.06/12,094.34
  6. Step 6: Final answer
    x = 6,293.84

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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.