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Finding the Fourth Proportional to 21,006, 31,513.32 and 8,694

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Solution

The fourth proportional to 21,006, 31,513.32 and 8,694 is: 13,042.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,006 : 31,513.32 = 8,694 : x
  2. Step 2: Convert to fraction form
    21,006/31,513.32 = 8,694/x
  3. Step 3: Cross multiply
    21,006x = 31,513.32 × 8,694
  4. Step 4: Simplify right side
    21,006x = 273,976,804.08
  5. Step 5: Solve for x
    x = 273,976,804.08/21,006
  6. Step 6: Final answer
    x = 13,042.79

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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.