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Finding the Fourth Proportional to 22,138, 30,552.36 and 12,203.92

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Solution

The fourth proportional to 22,138, 30,552.36 and 12,203.92 is: 16,842.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,138 : 30,552.36 = 12,203.92 : x
  2. Step 2: Convert to fraction form
    22,138/30,552.36 = 12,203.92/x
  3. Step 3: Cross multiply
    22,138x = 30,552.36 × 12,203.92
  4. Step 4: Simplify right side
    22,138x = 372,858,557.25
  5. Step 5: Solve for x
    x = 372,858,557.25/22,138
  6. Step 6: Final answer
    x = 16,842.47

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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.