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Finding the Fourth Proportional to 22,657.32, 33,942.24 and 18,714.24

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Solution

The fourth proportional to 22,657.32, 33,942.24 and 18,714.24 is: 28,035.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,657.32 : 33,942.24 = 18,714.24 : x
  2. Step 2: Convert to fraction form
    22,657.32/33,942.24 = 18,714.24/x
  3. Step 3: Cross multiply
    22,657.32x = 33,942.24 × 18,714.24
  4. Step 4: Simplify right side
    22,657.32x = 635,203,225.50
  5. Step 5: Solve for x
    x = 635,203,225.50/22,657.32
  6. Step 6: Final answer
    x = 28,035.23

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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.