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Finding the Fourth Proportional to 22,195.50, 33,284.58 and 9,544.08

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Solution

The fourth proportional to 22,195.50, 33,284.58 and 9,544.08 is: 14,312.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,195.50 : 33,284.58 = 9,544.08 : x
  2. Step 2: Convert to fraction form
    22,195.50/33,284.58 = 9,544.08/x
  3. Step 3: Cross multiply
    22,195.50x = 33,284.58 × 9,544.08
  4. Step 4: Simplify right side
    22,195.50x = 317,670,694.29
  5. Step 5: Solve for x
    x = 317,670,694.29/22,195.50
  6. Step 6: Final answer
    x = 14,312.39

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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.