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Finding the Fourth Proportional to 34,286.67, 51,435.72 and 11,796.45

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Solution

The fourth proportional to 34,286.67, 51,435.72 and 11,796.45 is: 17,696.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,286.67 : 51,435.72 = 11,796.45 : x
  2. Step 2: Convert to fraction form
    34,286.67/51,435.72 = 11,796.45/x
  3. Step 3: Cross multiply
    34,286.67x = 51,435.72 × 11,796.45
  4. Step 4: Simplify right side
    34,286.67x = 606,758,899.19
  5. Step 5: Solve for x
    x = 606,758,899.19/34,286.67
  6. Step 6: Final answer
    x = 17,696.64

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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.