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Finding the Fourth Proportional to 23,576.56, 35,357.28 and 7,778.05

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Solution

The fourth proportional to 23,576.56, 35,357.28 and 7,778.05 is: 11,664.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,576.56 : 35,357.28 = 7,778.05 : x
  2. Step 2: Convert to fraction form
    23,576.56/35,357.28 = 7,778.05/x
  3. Step 3: Cross multiply
    23,576.56x = 35,357.28 × 7,778.05
  4. Step 4: Simplify right side
    23,576.56x = 275,010,691.70
  5. Step 5: Solve for x
    x = 275,010,691.70/23,576.56
  6. Step 6: Final answer
    x = 11,664.58

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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.