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Finding the Fourth Proportional to 21,006.96, 31,512.24 and 6,963.99

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Solution

The fourth proportional to 21,006.96, 31,512.24 and 6,963.99 is: 10,446.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,006.96 : 31,512.24 = 6,963.99 : x
  2. Step 2: Convert to fraction form
    21,006.96/31,512.24 = 6,963.99/x
  3. Step 3: Cross multiply
    21,006.96x = 31,512.24 × 6,963.99
  4. Step 4: Simplify right side
    21,006.96x = 219,450,924.24
  5. Step 5: Solve for x
    x = 219,450,924.24/21,006.96
  6. Step 6: Final answer
    x = 10,446.58

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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.