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Finding the Fourth Proportional to 22,107.44, 30,507 and 12,171.44

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Solution

The fourth proportional to 22,107.44, 30,507 and 12,171.44 is: 16,795.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,107.44 : 30,507 = 12,171.44 : x
  2. Step 2: Convert to fraction form
    22,107.44/30,507 = 12,171.44/x
  3. Step 3: Cross multiply
    22,107.44x = 30,507 × 12,171.44
  4. Step 4: Simplify right side
    22,107.44x = 371,314,120.08
  5. Step 5: Solve for x
    x = 371,314,120.08/22,107.44
  6. Step 6: Final answer
    x = 16,795.89

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1.5x scale

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.