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Finding the Fourth Proportional to 22,628.62, 33,945.36 and 9,482.32

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Solution

The fourth proportional to 22,628.62, 33,945.36 and 9,482.32 is: 14,224.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,628.62 : 33,945.36 = 9,482.32 : x
  2. Step 2: Convert to fraction form
    22,628.62/33,945.36 = 9,482.32/x
  3. Step 3: Cross multiply
    22,628.62x = 33,945.36 × 9,482.32
  4. Step 4: Simplify right side
    22,628.62x = 321,880,766.04
  5. Step 5: Solve for x
    x = 321,880,766.04/22,628.62
  6. Step 6: Final answer
    x = 14,224.50

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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.