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Finding the Fourth Proportional to 21,006.48, 31,511.26 and 6,965.94

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Solution

The fourth proportional to 21,006.48, 31,511.26 and 6,965.94 is: 10,449.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,006.48 : 31,511.26 = 6,965.94 : x
  2. Step 2: Convert to fraction form
    21,006.48/31,511.26 = 6,965.94/x
  3. Step 3: Cross multiply
    21,006.48x = 31,511.26 × 6,965.94
  4. Step 4: Simplify right side
    21,006.48x = 219,505,546.48
  5. Step 5: Solve for x
    x = 219,505,546.48/21,006.48
  6. Step 6: Final answer
    x = 10,449.42

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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.