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Finding the Fourth Proportional to 22,219.98, 30,662.34 and 12,146.42

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Solution

The fourth proportional to 22,219.98, 30,662.34 and 12,146.42 is: 16,761.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,219.98 : 30,662.34 = 12,146.42 : x
  2. Step 2: Convert to fraction form
    22,219.98/30,662.34 = 12,146.42/x
  3. Step 3: Cross multiply
    22,219.98x = 30,662.34 × 12,146.42
  4. Step 4: Simplify right side
    22,219.98x = 372,437,659.82
  5. Step 5: Solve for x
    x = 372,437,659.82/22,219.98
  6. Step 6: Final answer
    x = 16,761.39

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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.