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Finding the Fourth Proportional to 14,561.97, 21,843.06 and 6,234.96

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Solution

The fourth proportional to 14,561.97, 21,843.06 and 6,234.96 is: 9,352.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,561.97 : 21,843.06 = 6,234.96 : x
  2. Step 2: Convert to fraction form
    14,561.97/21,843.06 = 6,234.96/x
  3. Step 3: Cross multiply
    14,561.97x = 21,843.06 × 6,234.96
  4. Step 4: Simplify right side
    14,561.97x = 136,190,605.38
  5. Step 5: Solve for x
    x = 136,190,605.38/14,561.97
  6. Step 6: Final answer
    x = 9,352.48

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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.