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Finding the Fourth Proportional to 21,224.75, 31,837.09 and 5,642.38

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Solution

The fourth proportional to 21,224.75, 31,837.09 and 5,642.38 is: 8,463.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,224.75 : 31,837.09 = 5,642.38 : x
  2. Step 2: Convert to fraction form
    21,224.75/31,837.09 = 5,642.38/x
  3. Step 3: Cross multiply
    21,224.75x = 31,837.09 × 5,642.38
  4. Step 4: Simplify right side
    21,224.75x = 179,636,817.06
  5. Step 5: Solve for x
    x = 179,636,817.06/21,224.75
  6. Step 6: Final answer
    x = 8,463.55

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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.