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Finding the Fourth Proportional to 23,844, 32,899.82 and 13,231.38

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Solution

The fourth proportional to 23,844, 32,899.82 and 13,231.38 is: 18,256.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,844 : 32,899.82 = 13,231.38 : x
  2. Step 2: Convert to fraction form
    23,844/32,899.82 = 13,231.38/x
  3. Step 3: Cross multiply
    23,844x = 32,899.82 × 13,231.38
  4. Step 4: Simplify right side
    23,844x = 435,310,020.35
  5. Step 5: Solve for x
    x = 435,310,020.35/23,844
  6. Step 6: Final answer
    x = 18,256.59

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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.