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Finding the Fourth Proportional to 21,007.26, 31,511.49 and 7,857.12

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Solution

The fourth proportional to 21,007.26, 31,511.49 and 7,857.12 is: 11,785.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,007.26 : 31,511.49 = 7,857.12 : x
  2. Step 2: Convert to fraction form
    21,007.26/31,511.49 = 7,857.12/x
  3. Step 3: Cross multiply
    21,007.26x = 31,511.49 × 7,857.12
  4. Step 4: Simplify right side
    21,007.26x = 247,589,558.31
  5. Step 5: Solve for x
    x = 247,589,558.31/21,007.26
  6. Step 6: Final answer
    x = 11,785.90

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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.