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Finding the Fourth Proportional to 20,954.66, 31,431.17 and 7,103.66

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Solution

The fourth proportional to 20,954.66, 31,431.17 and 7,103.66 is: 10,655.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,954.66 : 31,431.17 = 7,103.66 : x
  2. Step 2: Convert to fraction form
    20,954.66/31,431.17 = 7,103.66/x
  3. Step 3: Cross multiply
    20,954.66x = 31,431.17 × 7,103.66
  4. Step 4: Simplify right side
    20,954.66x = 223,276,205.69
  5. Step 5: Solve for x
    x = 223,276,205.69/20,954.66
  6. Step 6: Final answer
    x = 10,655.21

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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.