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Finding the Fourth Proportional to 14,616.44, 21,927.90 and 6,821

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Solution

The fourth proportional to 14,616.44, 21,927.90 and 6,821 is: 10,233.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,616.44 : 21,927.90 = 6,821 : x
  2. Step 2: Convert to fraction form
    14,616.44/21,927.90 = 6,821/x
  3. Step 3: Cross multiply
    14,616.44x = 21,927.90 × 6,821
  4. Step 4: Simplify right side
    14,616.44x = 149,570,205.90
  5. Step 5: Solve for x
    x = 149,570,205.90/14,616.44
  6. Step 6: Final answer
    x = 10,233.01

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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.