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Finding the Fourth Proportional to 23,133.50, 34,697.67 and 6,494.18

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Solution

The fourth proportional to 23,133.50, 34,697.67 and 6,494.18 is: 9,740.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,133.50 : 34,697.67 = 6,494.18 : x
  2. Step 2: Convert to fraction form
    23,133.50/34,697.67 = 6,494.18/x
  3. Step 3: Cross multiply
    23,133.50x = 34,697.67 × 6,494.18
  4. Step 4: Simplify right side
    23,133.50x = 225,332,914.56
  5. Step 5: Solve for x
    x = 225,332,914.56/23,133.50
  6. Step 6: Final answer
    x = 9,740.55

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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.