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Finding the Fourth Proportional to 23,813.76, 35,736.84 and 8,231.25

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Solution

The fourth proportional to 23,813.76, 35,736.84 and 8,231.25 is: 12,352.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,813.76 : 35,736.84 = 8,231.25 : x
  2. Step 2: Convert to fraction form
    23,813.76/35,736.84 = 8,231.25/x
  3. Step 3: Cross multiply
    23,813.76x = 35,736.84 × 8,231.25
  4. Step 4: Simplify right side
    23,813.76x = 294,158,864.25
  5. Step 5: Solve for x
    x = 294,158,864.25/23,813.76
  6. Step 6: Final answer
    x = 12,352.47

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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.