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Finding the Fourth Proportional to 22,003.26, 30,369.78 and 12,577.32

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Solution

The fourth proportional to 22,003.26, 30,369.78 and 12,577.32 is: 17,359.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,003.26 : 30,369.78 = 12,577.32 : x
  2. Step 2: Convert to fraction form
    22,003.26/30,369.78 = 12,577.32/x
  3. Step 3: Cross multiply
    22,003.26x = 30,369.78 × 12,577.32
  4. Step 4: Simplify right side
    22,003.26x = 381,970,441.39
  5. Step 5: Solve for x
    x = 381,970,441.39/22,003.26
  6. Step 6: Final answer
    x = 17,359.72

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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.