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Finding the Fourth Proportional to 23,814, 35,721.81 and 9,582.30

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Solution

The fourth proportional to 23,814, 35,721.81 and 9,582.30 is: 14,373.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,814 : 35,721.81 = 9,582.30 : x
  2. Step 2: Convert to fraction form
    23,814/35,721.81 = 9,582.30/x
  3. Step 3: Cross multiply
    23,814x = 35,721.81 × 9,582.30
  4. Step 4: Simplify right side
    23,814x = 342,297,099.96
  5. Step 5: Solve for x
    x = 342,297,099.96/23,814
  6. Step 6: Final answer
    x = 14,373.78

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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.