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Finding the Fourth Proportional to 23,884.44, 32,958.09 and 13,812.09

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Solution

The fourth proportional to 23,884.44, 32,958.09 and 13,812.09 is: 19,059.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,884.44 : 32,958.09 = 13,812.09 : x
  2. Step 2: Convert to fraction form
    23,884.44/32,958.09 = 13,812.09/x
  3. Step 3: Cross multiply
    23,884.44x = 32,958.09 × 13,812.09
  4. Step 4: Simplify right side
    23,884.44x = 455,220,105.31
  5. Step 5: Solve for x
    x = 455,220,105.31/23,884.44
  6. Step 6: Final answer
    x = 19,059.27

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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.