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Finding the Fourth Proportional to 22,340.34, 30,833.46 and 12,914.64

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Solution

The fourth proportional to 22,340.34, 30,833.46 and 12,914.64 is: 17,824.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,340.34 : 30,833.46 = 12,914.64 : x
  2. Step 2: Convert to fraction form
    22,340.34/30,833.46 = 12,914.64/x
  3. Step 3: Cross multiply
    22,340.34x = 30,833.46 × 12,914.64
  4. Step 4: Simplify right side
    22,340.34x = 398,203,035.85
  5. Step 5: Solve for x
    x = 398,203,035.85/22,340.34
  6. Step 6: Final answer
    x = 17,824.39

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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.