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Finding the Fourth Proportional to 22,320.78, 33,480.36 and 6,738

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Solution

The fourth proportional to 22,320.78, 33,480.36 and 6,738 is: 10,106.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,320.78 : 33,480.36 = 6,738 : x
  2. Step 2: Convert to fraction form
    22,320.78/33,480.36 = 6,738/x
  3. Step 3: Cross multiply
    22,320.78x = 33,480.36 × 6,738
  4. Step 4: Simplify right side
    22,320.78x = 225,590,665.68
  5. Step 5: Solve for x
    x = 225,590,665.68/22,320.78
  6. Step 6: Final answer
    x = 10,106.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.