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Finding the Fourth Proportional to 20,075.40, 27,727.38 and 18,909

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Solution

The fourth proportional to 20,075.40, 27,727.38 and 18,909 is: 26,116.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,075.40 : 27,727.38 = 18,909 : x
  2. Step 2: Convert to fraction form
    20,075.40/27,727.38 = 18,909/x
  3. Step 3: Cross multiply
    20,075.40x = 27,727.38 × 18,909
  4. Step 4: Simplify right side
    20,075.40x = 524,297,028.42
  5. Step 5: Solve for x
    x = 524,297,028.42/20,075.40
  6. Step 6: Final answer
    x = 26,116.39

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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.