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Finding the Fourth Proportional to 22,033.04, 33,054.76 and 7,242

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Solution

The fourth proportional to 22,033.04, 33,054.76 and 7,242 is: 10,864.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,033.04 : 33,054.76 = 7,242 : x
  2. Step 2: Convert to fraction form
    22,033.04/33,054.76 = 7,242/x
  3. Step 3: Cross multiply
    22,033.04x = 33,054.76 × 7,242
  4. Step 4: Simplify right side
    22,033.04x = 239,382,571.92
  5. Step 5: Solve for x
    x = 239,382,571.92/22,033.04
  6. Step 6: Final answer
    x = 10,864.71

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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.