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Finding the Fourth Proportional to 22,639.85, 33,952.07 and 7,845.32

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Solution

The fourth proportional to 22,639.85, 33,952.07 and 7,845.32 is: 11,765.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,639.85 : 33,952.07 = 7,845.32 : x
  2. Step 2: Convert to fraction form
    22,639.85/33,952.07 = 7,845.32/x
  3. Step 3: Cross multiply
    22,639.85x = 33,952.07 × 7,845.32
  4. Step 4: Simplify right side
    22,639.85x = 266,364,644.83
  5. Step 5: Solve for x
    x = 266,364,644.83/22,639.85
  6. Step 6: Final answer
    x = 11,765.30

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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.