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Finding the Fourth Proportional to 22,036.50, 33,054.93 and 8,185.50

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Solution

The fourth proportional to 22,036.50, 33,054.93 and 8,185.50 is: 12,278.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,036.50 : 33,054.93 = 8,185.50 : x
  2. Step 2: Convert to fraction form
    22,036.50/33,054.93 = 8,185.50/x
  3. Step 3: Cross multiply
    22,036.50x = 33,054.93 × 8,185.50
  4. Step 4: Simplify right side
    22,036.50x = 270,571,129.52
  5. Step 5: Solve for x
    x = 270,571,129.52/22,036.50
  6. Step 6: Final answer
    x = 12,278.32

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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.