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Finding the Fourth Proportional to 22,434.09, 33,649.92 and 6,850.50

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Solution

The fourth proportional to 22,434.09, 33,649.92 and 6,850.50 is: 10,275.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,434.09 : 33,649.92 = 6,850.50 : x
  2. Step 2: Convert to fraction form
    22,434.09/33,649.92 = 6,850.50/x
  3. Step 3: Cross multiply
    22,434.09x = 33,649.92 × 6,850.50
  4. Step 4: Simplify right side
    22,434.09x = 230,518,776.96
  5. Step 5: Solve for x
    x = 230,518,776.96/22,434.09
  6. Step 6: Final answer
    x = 10,275.38

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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.