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Finding the Fourth Proportional to 23,193.63, 31,986.09 and 19,616.09

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Solution

The fourth proportional to 23,193.63, 31,986.09 and 19,616.09 is: 27,052.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,193.63 : 31,986.09 = 19,616.09 : x
  2. Step 2: Convert to fraction form
    23,193.63/31,986.09 = 19,616.09/x
  3. Step 3: Cross multiply
    23,193.63x = 31,986.09 × 19,616.09
  4. Step 4: Simplify right side
    23,193.63x = 627,441,860.26
  5. Step 5: Solve for x
    x = 627,441,860.26/23,193.63
  6. Step 6: Final answer
    x = 27,052.34

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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.