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Finding the Fourth Proportional to 23,206.44, 34,816.86 and 8,422.44

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Solution

The fourth proportional to 23,206.44, 34,816.86 and 8,422.44 is: 12,636.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,206.44 : 34,816.86 = 8,422.44 : x
  2. Step 2: Convert to fraction form
    23,206.44/34,816.86 = 8,422.44/x
  3. Step 3: Cross multiply
    23,206.44x = 34,816.86 × 8,422.44
  4. Step 4: Simplify right side
    23,206.44x = 293,242,914.34
  5. Step 5: Solve for x
    x = 293,242,914.34/23,206.44
  6. Step 6: Final answer
    x = 12,636.27

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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.