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Finding the Fourth Proportional to 22,071.92, 33,097.46 and 8,022.06

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Solution

The fourth proportional to 22,071.92, 33,097.46 and 8,022.06 is: 12,029.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,071.92 : 33,097.46 = 8,022.06 : x
  2. Step 2: Convert to fraction form
    22,071.92/33,097.46 = 8,022.06/x
  3. Step 3: Cross multiply
    22,071.92x = 33,097.46 × 8,022.06
  4. Step 4: Simplify right side
    22,071.92x = 265,509,809.97
  5. Step 5: Solve for x
    x = 265,509,809.97/22,071.92
  6. Step 6: Final answer
    x = 12,029.30

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1.5x scale

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.