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Finding the Fourth Proportional to 23,718, 32,737.67 and 15,657.54

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Solution

The fourth proportional to 23,718, 32,737.67 and 15,657.54 is: 21,611.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,718 : 32,737.67 = 15,657.54 : x
  2. Step 2: Convert to fraction form
    23,718/32,737.67 = 15,657.54/x
  3. Step 3: Cross multiply
    23,718x = 32,737.67 × 15,657.54
  4. Step 4: Simplify right side
    23,718x = 512,591,299.24
  5. Step 5: Solve for x
    x = 512,591,299.24/23,718
  6. Step 6: Final answer
    x = 21,611.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.