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Finding the Fourth Proportional to 21,283.56, 31,924.17 and 6,491.31

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Solution

The fourth proportional to 21,283.56, 31,924.17 and 6,491.31 is: 9,736.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,283.56 : 31,924.17 = 6,491.31 : x
  2. Step 2: Convert to fraction form
    21,283.56/31,924.17 = 6,491.31/x
  3. Step 3: Cross multiply
    21,283.56x = 31,924.17 × 6,491.31
  4. Step 4: Simplify right side
    21,283.56x = 207,229,683.96
  5. Step 5: Solve for x
    x = 207,229,683.96/21,283.56
  6. Step 6: Final answer
    x = 9,736.61

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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.