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Finding the Fourth Proportional to 22,006, 30,367.74 and 12,573.96

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Solution

The fourth proportional to 22,006, 30,367.74 and 12,573.96 is: 17,351.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,006 : 30,367.74 = 12,573.96 : x
  2. Step 2: Convert to fraction form
    22,006/30,367.74 = 12,573.96/x
  3. Step 3: Cross multiply
    22,006x = 30,367.74 × 12,573.96
  4. Step 4: Simplify right side
    22,006x = 381,842,748.05
  5. Step 5: Solve for x
    x = 381,842,748.05/22,006
  6. Step 6: Final answer
    x = 17,351.76

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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.