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Finding the Fourth Proportional to 22,200.98, 30,636.84 and 12,129.46

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Solution

The fourth proportional to 22,200.98, 30,636.84 and 12,129.46 is: 16,738.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,200.98 : 30,636.84 = 12,129.46 : x
  2. Step 2: Convert to fraction form
    22,200.98/30,636.84 = 12,129.46/x
  3. Step 3: Cross multiply
    22,200.98x = 30,636.84 × 12,129.46
  4. Step 4: Simplify right side
    22,200.98x = 371,608,325.31
  5. Step 5: Solve for x
    x = 371,608,325.31/22,200.98
  6. Step 6: Final answer
    x = 16,738.37

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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.