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Finding the Fourth Proportional to 23,821.72, 35,737.74 and 7,180.36

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Solution

The fourth proportional to 23,821.72, 35,737.74 and 7,180.36 is: 10,772.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,821.72 : 35,737.74 = 7,180.36 : x
  2. Step 2: Convert to fraction form
    23,821.72/35,737.74 = 7,180.36/x
  3. Step 3: Cross multiply
    23,821.72x = 35,737.74 × 7,180.36
  4. Step 4: Simplify right side
    23,821.72x = 256,609,838.79
  5. Step 5: Solve for x
    x = 256,609,838.79/23,821.72
  6. Step 6: Final answer
    x = 10,772.10

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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.