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Finding the Fourth Proportional to 23,674.50, 35,512.02 and 6,143.27

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Solution

The fourth proportional to 23,674.50, 35,512.02 and 6,143.27 is: 9,214.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,674.50 : 35,512.02 = 6,143.27 : x
  2. Step 2: Convert to fraction form
    23,674.50/35,512.02 = 6,143.27/x
  3. Step 3: Cross multiply
    23,674.50x = 35,512.02 × 6,143.27
  4. Step 4: Simplify right side
    23,674.50x = 218,159,749.55
  5. Step 5: Solve for x
    x = 218,159,749.55/23,674.50
  6. Step 6: Final answer
    x = 9,214.97

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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.