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Finding the Fourth Proportional to 22,297.54, 30,770.86 and 12,738.68

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Solution

The fourth proportional to 22,297.54, 30,770.86 and 12,738.68 is: 17,579.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,297.54 : 30,770.86 = 12,738.68 : x
  2. Step 2: Convert to fraction form
    22,297.54/30,770.86 = 12,738.68/x
  3. Step 3: Cross multiply
    22,297.54x = 30,770.86 × 12,738.68
  4. Step 4: Simplify right side
    22,297.54x = 391,980,138.86
  5. Step 5: Solve for x
    x = 391,980,138.86/22,297.54
  6. Step 6: Final answer
    x = 17,579.52

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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.