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Finding the Fourth Proportional to 22,026.50, 30,395.38 and 12,467.50

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Solution

The fourth proportional to 22,026.50, 30,395.38 and 12,467.50 is: 17,204.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,026.50 : 30,395.38 = 12,467.50 : x
  2. Step 2: Convert to fraction form
    22,026.50/30,395.38 = 12,467.50/x
  3. Step 3: Cross multiply
    22,026.50x = 30,395.38 × 12,467.50
  4. Step 4: Simplify right side
    22,026.50x = 378,954,400.15
  5. Step 5: Solve for x
    x = 378,954,400.15/22,026.50
  6. Step 6: Final answer
    x = 17,204.48

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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.