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Finding the Fourth Proportional to 22,546.74, 33,820.11 and 7,755.78

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Solution

The fourth proportional to 22,546.74, 33,820.11 and 7,755.78 is: 11,633.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,546.74 : 33,820.11 = 7,755.78 : x
  2. Step 2: Convert to fraction form
    22,546.74/33,820.11 = 7,755.78/x
  3. Step 3: Cross multiply
    22,546.74x = 33,820.11 × 7,755.78
  4. Step 4: Simplify right side
    22,546.74x = 262,301,332.74
  5. Step 5: Solve for x
    x = 262,301,332.74/22,546.74
  6. Step 6: Final answer
    x = 11,633.67

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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.