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Finding the Fourth Proportional to 22,382.44, 33,566.49 and 7,386.20

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Solution

The fourth proportional to 22,382.44, 33,566.49 and 7,386.20 is: 11,076.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,382.44 : 33,566.49 = 7,386.20 : x
  2. Step 2: Convert to fraction form
    22,382.44/33,566.49 = 7,386.20/x
  3. Step 3: Cross multiply
    22,382.44x = 33,566.49 × 7,386.20
  4. Step 4: Simplify right side
    22,382.44x = 247,928,892.35
  5. Step 5: Solve for x
    x = 247,928,892.35/22,382.44
  6. Step 6: Final answer
    x = 11,076.94

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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.