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Finding the Fourth Proportional to 22,273.68, 30,736.32 and 12,200.28

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Solution

The fourth proportional to 22,273.68, 30,736.32 and 12,200.28 is: 16,835.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,273.68 : 30,736.32 = 12,200.28 : x
  2. Step 2: Convert to fraction form
    22,273.68/30,736.32 = 12,200.28/x
  3. Step 3: Cross multiply
    22,273.68x = 30,736.32 × 12,200.28
  4. Step 4: Simplify right side
    22,273.68x = 374,991,710.17
  5. Step 5: Solve for x
    x = 374,991,710.17/22,273.68
  6. Step 6: Final answer
    x = 16,835.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.