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Finding the Fourth Proportional to 14,623.44, 21,938.40 and 6,828

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Solution

The fourth proportional to 14,623.44, 21,938.40 and 6,828 is: 10,243.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,623.44 : 21,938.40 = 6,828 : x
  2. Step 2: Convert to fraction form
    14,623.44/21,938.40 = 6,828/x
  3. Step 3: Cross multiply
    14,623.44x = 21,938.40 × 6,828
  4. Step 4: Simplify right side
    14,623.44x = 149,795,395.20
  5. Step 5: Solve for x
    x = 149,795,395.20/14,623.44
  6. Step 6: Final answer
    x = 10,243.51

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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.