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Finding the Fourth Proportional to 23,212.14, 34,814.87 and 7,418.97

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Solution

The fourth proportional to 23,212.14, 34,814.87 and 7,418.97 is: 11,127.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,212.14 : 34,814.87 = 7,418.97 : x
  2. Step 2: Convert to fraction form
    23,212.14/34,814.87 = 7,418.97/x
  3. Step 3: Cross multiply
    23,212.14x = 34,814.87 × 7,418.97
  4. Step 4: Simplify right side
    23,212.14x = 258,290,476.08
  5. Step 5: Solve for x
    x = 258,290,476.08/23,212.14
  6. Step 6: Final answer
    x = 11,127.39

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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.