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Finding the Fourth Proportional to 21,638.25, 29,860.25 and 12,206.07

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Solution

The fourth proportional to 21,638.25, 29,860.25 and 12,206.07 is: 16,844.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,638.25 : 29,860.25 = 12,206.07 : x
  2. Step 2: Convert to fraction form
    21,638.25/29,860.25 = 12,206.07/x
  3. Step 3: Cross multiply
    21,638.25x = 29,860.25 × 12,206.07
  4. Step 4: Simplify right side
    21,638.25x = 364,476,240.69
  5. Step 5: Solve for x
    x = 364,476,240.69/21,638.25
  6. Step 6: Final answer
    x = 16,844.07

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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.