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Finding the Fourth Proportional to 22,378.42, 33,568.38 and 6,796

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Solution

The fourth proportional to 22,378.42, 33,568.38 and 6,796 is: 10,194.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,378.42 : 33,568.38 = 6,796 : x
  2. Step 2: Convert to fraction form
    22,378.42/33,568.38 = 6,796/x
  3. Step 3: Cross multiply
    22,378.42x = 33,568.38 × 6,796
  4. Step 4: Simplify right side
    22,378.42x = 228,130,710.48
  5. Step 5: Solve for x
    x = 228,130,710.48/22,378.42
  6. Step 6: Final answer
    x = 10,194.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.