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Finding the Fourth Proportional to 23,596.31, 32,563.22 and 12,986.22

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Solution

The fourth proportional to 23,596.31, 32,563.22 and 12,986.22 is: 17,921.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,596.31 : 32,563.22 = 12,986.22 : x
  2. Step 2: Convert to fraction form
    23,596.31/32,563.22 = 12,986.22/x
  3. Step 3: Cross multiply
    23,596.31x = 32,563.22 × 12,986.22
  4. Step 4: Simplify right side
    23,596.31x = 422,873,196.01
  5. Step 5: Solve for x
    x = 422,873,196.01/23,596.31
  6. Step 6: Final answer
    x = 17,921.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.