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Finding the Fourth Proportional to 23,953.85, 35,928.04 and 6,422.31

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Solution

The fourth proportional to 23,953.85, 35,928.04 and 6,422.31 is: 9,632.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,953.85 : 35,928.04 = 6,422.31 : x
  2. Step 2: Convert to fraction form
    23,953.85/35,928.04 = 6,422.31/x
  3. Step 3: Cross multiply
    23,953.85x = 35,928.04 × 6,422.31
  4. Step 4: Simplify right side
    23,953.85x = 230,741,010.57
  5. Step 5: Solve for x
    x = 230,741,010.57/23,953.85
  6. Step 6: Final answer
    x = 9,632.73

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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.