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Finding the Fourth Proportional to 23,822.31, 35,733.47 and 8,231.43

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Solution

The fourth proportional to 23,822.31, 35,733.47 and 8,231.43 is: 12,347.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,822.31 : 35,733.47 = 8,231.43 : x
  2. Step 2: Convert to fraction form
    23,822.31/35,733.47 = 8,231.43/x
  3. Step 3: Cross multiply
    23,822.31x = 35,733.47 × 8,231.43
  4. Step 4: Simplify right side
    23,822.31x = 294,137,515.80
  5. Step 5: Solve for x
    x = 294,137,515.80/23,822.31
  6. Step 6: Final answer
    x = 12,347.15

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1.5x scale

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.