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Finding the Fourth Proportional to 17,524.68, 24,183.74 and 9,970.84

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Solution

The fourth proportional to 17,524.68, 24,183.74 and 9,970.84 is: 13,759.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,524.68 : 24,183.74 = 9,970.84 : x
  2. Step 2: Convert to fraction form
    17,524.68/24,183.74 = 9,970.84/x
  3. Step 3: Cross multiply
    17,524.68x = 24,183.74 × 9,970.84
  4. Step 4: Simplify right side
    17,524.68x = 241,132,152.29
  5. Step 5: Solve for x
    x = 241,132,152.29/17,524.68
  6. Step 6: Final answer
    x = 13,759.58

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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.