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Finding the Fourth Proportional to 23,323.02, 34,976.43 and 7,737

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Solution

The fourth proportional to 23,323.02, 34,976.43 and 7,737 is: 11,602.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,323.02 : 34,976.43 = 7,737 : x
  2. Step 2: Convert to fraction form
    23,323.02/34,976.43 = 7,737/x
  3. Step 3: Cross multiply
    23,323.02x = 34,976.43 × 7,737
  4. Step 4: Simplify right side
    23,323.02x = 270,612,638.91
  5. Step 5: Solve for x
    x = 270,612,638.91/23,323.02
  6. Step 6: Final answer
    x = 11,602.81

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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.