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Finding the Fourth Proportional to 23,578.36, 35,359.97 and 7,779.85

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Solution

The fourth proportional to 23,578.36, 35,359.97 and 7,779.85 is: 11,667.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,578.36 : 35,359.97 = 7,779.85 : x
  2. Step 2: Convert to fraction form
    23,578.36/35,359.97 = 7,779.85/x
  3. Step 3: Cross multiply
    23,578.36x = 35,359.97 × 7,779.85
  4. Step 4: Simplify right side
    23,578.36x = 275,095,135.31
  5. Step 5: Solve for x
    x = 275,095,135.31/23,578.36
  6. Step 6: Final answer
    x = 11,667.27

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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.