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Finding the Fourth Proportional to 20,894.11, 31,342.02 and 5,312.14

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Solution

The fourth proportional to 20,894.11, 31,342.02 and 5,312.14 is: 7,968.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,894.11 : 31,342.02 = 5,312.14 : x
  2. Step 2: Convert to fraction form
    20,894.11/31,342.02 = 5,312.14/x
  3. Step 3: Cross multiply
    20,894.11x = 31,342.02 × 5,312.14
  4. Step 4: Simplify right side
    20,894.11x = 166,493,198.12
  5. Step 5: Solve for x
    x = 166,493,198.12/20,894.11
  6. Step 6: Final answer
    x = 7,968.43

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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.