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Finding the Fourth Proportional to 22,208.21, 30,647.73 and 12,137.07

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Solution

The fourth proportional to 22,208.21, 30,647.73 and 12,137.07 is: 16,749.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,208.21 : 30,647.73 = 12,137.07 : x
  2. Step 2: Convert to fraction form
    22,208.21/30,647.73 = 12,137.07/x
  3. Step 3: Cross multiply
    22,208.21x = 30,647.73 × 12,137.07
  4. Step 4: Simplify right side
    22,208.21x = 371,973,644.35
  5. Step 5: Solve for x
    x = 371,973,644.35/22,208.21
  6. Step 6: Final answer
    x = 16,749.38

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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.