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Finding the Fourth Proportional to 22,177.27, 30,605.54 and 12,106.39

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Solution

The fourth proportional to 22,177.27, 30,605.54 and 12,106.39 is: 16,707.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,177.27 : 30,605.54 = 12,106.39 : x
  2. Step 2: Convert to fraction form
    22,177.27/30,605.54 = 12,106.39/x
  3. Step 3: Cross multiply
    22,177.27x = 30,605.54 × 12,106.39
  4. Step 4: Simplify right side
    22,177.27x = 370,522,542.87
  5. Step 5: Solve for x
    x = 370,522,542.87/22,177.27
  6. Step 6: Final answer
    x = 16,707.31

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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.