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Finding the Fourth Proportional to 21,205.33, 31,812.98 and 6,414.37

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Solution

The fourth proportional to 21,205.33, 31,812.98 and 6,414.37 is: 9,623.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,205.33 : 31,812.98 = 6,414.37 : x
  2. Step 2: Convert to fraction form
    21,205.33/31,812.98 = 6,414.37/x
  3. Step 3: Cross multiply
    21,205.33x = 31,812.98 × 6,414.37
  4. Step 4: Simplify right side
    21,205.33x = 204,060,081.49
  5. Step 5: Solve for x
    x = 204,060,081.49/21,205.33
  6. Step 6: Final answer
    x = 9,623.06

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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.