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Finding the Fourth Proportional to 22,656.43, 33,935.37 and 10,945

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Solution

The fourth proportional to 22,656.43, 33,935.37 and 10,945 is: 16,393.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,656.43 : 33,935.37 = 10,945 : x
  2. Step 2: Convert to fraction form
    22,656.43/33,935.37 = 10,945/x
  3. Step 3: Cross multiply
    22,656.43x = 33,935.37 × 10,945
  4. Step 4: Simplify right side
    22,656.43x = 371,422,624.65
  5. Step 5: Solve for x
    x = 371,422,624.65/22,656.43
  6. Step 6: Final answer
    x = 16,393.70

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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.