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Finding the Fourth Proportional to 23,324.02, 34,977.93 and 7,738

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Solution

The fourth proportional to 23,324.02, 34,977.93 and 7,738 is: 11,604.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,324.02 : 34,977.93 = 7,738 : x
  2. Step 2: Convert to fraction form
    23,324.02/34,977.93 = 7,738/x
  3. Step 3: Cross multiply
    23,324.02x = 34,977.93 × 7,738
  4. Step 4: Simplify right side
    23,324.02x = 270,659,222.34
  5. Step 5: Solve for x
    x = 270,659,222.34/23,324.02
  6. Step 6: Final answer
    x = 11,604.31

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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.