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Finding the Fourth Proportional to 22,494.06, 33,738.48 and 7,701

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Solution

The fourth proportional to 22,494.06, 33,738.48 and 7,701 is: 11,550.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,494.06 : 33,738.48 = 7,701 : x
  2. Step 2: Convert to fraction form
    22,494.06/33,738.48 = 7,701/x
  3. Step 3: Cross multiply
    22,494.06x = 33,738.48 × 7,701
  4. Step 4: Simplify right side
    22,494.06x = 259,820,034.48
  5. Step 5: Solve for x
    x = 259,820,034.48/22,494.06
  6. Step 6: Final answer
    x = 11,550.61

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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.