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Finding the Fourth Proportional to 12,595, 17,270.57 and 12,266.95

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Solution

The fourth proportional to 12,595, 17,270.57 and 12,266.95 is: 16,820.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,595 : 17,270.57 = 12,266.95 : x
  2. Step 2: Convert to fraction form
    12,595/17,270.57 = 12,266.95/x
  3. Step 3: Cross multiply
    12,595x = 17,270.57 × 12,266.95
  4. Step 4: Simplify right side
    12,595x = 211,857,218.66
  5. Step 5: Solve for x
    x = 211,857,218.66/12,595
  6. Step 6: Final answer
    x = 16,820.74

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.