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Finding the Fourth Proportional to 20,145.50, 27,810.82 and 12,596.02

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Solution

The fourth proportional to 20,145.50, 27,810.82 and 12,596.02 is: 17,388.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,145.50 : 27,810.82 = 12,596.02 : x
  2. Step 2: Convert to fraction form
    20,145.50/27,810.82 = 12,596.02/x
  3. Step 3: Cross multiply
    20,145.50x = 27,810.82 × 12,596.02
  4. Step 4: Simplify right side
    20,145.50x = 350,305,644.94
  5. Step 5: Solve for x
    x = 350,305,644.94/20,145.50
  6. Step 6: Final answer
    x = 17,388.78

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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.