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Finding the Fourth Proportional to 23,821.53, 35,737.70 and 8,239.29

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Solution

The fourth proportional to 23,821.53, 35,737.70 and 8,239.29 is: 12,360.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,821.53 : 35,737.70 = 8,239.29 : x
  2. Step 2: Convert to fraction form
    23,821.53/35,737.70 = 8,239.29/x
  3. Step 3: Cross multiply
    23,821.53x = 35,737.70 × 8,239.29
  4. Step 4: Simplify right side
    23,821.53x = 294,453,233.04
  5. Step 5: Solve for x
    x = 294,453,233.04/23,821.53
  6. Step 6: Final answer
    x = 12,360.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.