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Finding the Fourth Proportional to 23,596.26, 32,563.07 and 12,985.98

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Solution

The fourth proportional to 23,596.26, 32,563.07 and 12,985.98 is: 17,920.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,596.26 : 32,563.07 = 12,985.98 : x
  2. Step 2: Convert to fraction form
    23,596.26/32,563.07 = 12,985.98/x
  3. Step 3: Cross multiply
    23,596.26x = 32,563.07 × 12,985.98
  4. Step 4: Simplify right side
    23,596.26x = 422,863,310.83
  5. Step 5: Solve for x
    x = 422,863,310.83/23,596.26
  6. Step 6: Final answer
    x = 17,920.78

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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.