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Finding the Fourth Proportional to 22,147.21, 30,563.39 and 12,075.57

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Solution

The fourth proportional to 22,147.21, 30,563.39 and 12,075.57 is: 16,664.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,147.21 : 30,563.39 = 12,075.57 : x
  2. Step 2: Convert to fraction form
    22,147.21/30,563.39 = 12,075.57/x
  3. Step 3: Cross multiply
    22,147.21x = 30,563.39 × 12,075.57
  4. Step 4: Simplify right side
    22,147.21x = 369,070,355.38
  5. Step 5: Solve for x
    x = 369,070,355.38/22,147.21
  6. Step 6: Final answer
    x = 16,664.42

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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.