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Finding the Fourth Proportional to 22,523.76, 33,736.32 and 12,657.60

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Solution

The fourth proportional to 22,523.76, 33,736.32 and 12,657.60 is: 18,958.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,523.76 : 33,736.32 = 12,657.60 : x
  2. Step 2: Convert to fraction form
    22,523.76/33,736.32 = 12,657.60/x
  3. Step 3: Cross multiply
    22,523.76x = 33,736.32 × 12,657.60
  4. Step 4: Simplify right side
    22,523.76x = 427,020,844.03
  5. Step 5: Solve for x
    x = 427,020,844.03/22,523.76
  6. Step 6: Final answer
    x = 18,958.68

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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.