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Finding the Fourth Proportional to 23,785.68, 32,824.68 and 13,175.64

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Solution

The fourth proportional to 23,785.68, 32,824.68 and 13,175.64 is: 18,182.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,785.68 : 32,824.68 = 13,175.64 : x
  2. Step 2: Convert to fraction form
    23,785.68/32,824.68 = 13,175.64/x
  3. Step 3: Cross multiply
    23,785.68x = 32,824.68 × 13,175.64
  4. Step 4: Simplify right side
    23,785.68x = 432,486,166.80
  5. Step 5: Solve for x
    x = 432,486,166.80/23,785.68
  6. Step 6: Final answer
    x = 18,182.63

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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.