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Finding the Fourth Proportional to 22,138.08, 30,552.32 and 12,709.68

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Solution

The fourth proportional to 22,138.08, 30,552.32 and 12,709.68 is: 17,540.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,138.08 : 30,552.32 = 12,709.68 : x
  2. Step 2: Convert to fraction form
    22,138.08/30,552.32 = 12,709.68/x
  3. Step 3: Cross multiply
    22,138.08x = 30,552.32 × 12,709.68
  4. Step 4: Simplify right side
    22,138.08x = 388,310,210.46
  5. Step 5: Solve for x
    x = 388,310,210.46/22,138.08
  6. Step 6: Final answer
    x = 17,540.37

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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.