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Finding the Fourth Proportional to 23,293.98, 34,942.59 and 7,722.54

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Solution

The fourth proportional to 23,293.98, 34,942.59 and 7,722.54 is: 11,584.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,293.98 : 34,942.59 = 7,722.54 : x
  2. Step 2: Convert to fraction form
    23,293.98/34,942.59 = 7,722.54/x
  3. Step 3: Cross multiply
    23,293.98x = 34,942.59 × 7,722.54
  4. Step 4: Simplify right side
    23,293.98x = 269,845,548.98
  5. Step 5: Solve for x
    x = 269,845,548.98/23,293.98
  6. Step 6: Final answer
    x = 11,584.35

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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.