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Finding the Fourth Proportional to 22,415.64, 33,623.40 and 6,833.26

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Solution

The fourth proportional to 22,415.64, 33,623.40 and 6,833.26 is: 10,249.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,415.64 : 33,623.40 = 6,833.26 : x
  2. Step 2: Convert to fraction form
    22,415.64/33,623.40 = 6,833.26/x
  3. Step 3: Cross multiply
    22,415.64x = 33,623.40 × 6,833.26
  4. Step 4: Simplify right side
    22,415.64x = 229,757,434.28
  5. Step 5: Solve for x
    x = 229,757,434.28/22,415.64
  6. Step 6: Final answer
    x = 10,249.87

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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.