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Finding the Fourth Proportional to 20,863.36, 31,299.72 and 7,012

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Solution

The fourth proportional to 20,863.36, 31,299.72 and 7,012 is: 10,519.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,863.36 : 31,299.72 = 7,012 : x
  2. Step 2: Convert to fraction form
    20,863.36/31,299.72 = 7,012/x
  3. Step 3: Cross multiply
    20,863.36x = 31,299.72 × 7,012
  4. Step 4: Simplify right side
    20,863.36x = 219,473,636.64
  5. Step 5: Solve for x
    x = 219,473,636.64/20,863.36
  6. Step 6: Final answer
    x = 10,519.57

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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.