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Finding the Fourth Proportional to 21,230.82, 31,842.63 and 6,436.22

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Solution

The fourth proportional to 21,230.82, 31,842.63 and 6,436.22 is: 9,653.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,230.82 : 31,842.63 = 6,436.22 : x
  2. Step 2: Convert to fraction form
    21,230.82/31,842.63 = 6,436.22/x
  3. Step 3: Cross multiply
    21,230.82x = 31,842.63 × 6,436.22
  4. Step 4: Simplify right side
    21,230.82x = 204,946,012.85
  5. Step 5: Solve for x
    x = 204,946,012.85/21,230.82
  6. Step 6: Final answer
    x = 9,653.23

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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.