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Finding the Fourth Proportional to 23,846.78, 35,773.94 and 7,204.75

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Solution

The fourth proportional to 23,846.78, 35,773.94 and 7,204.75 is: 10,808.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,846.78 : 35,773.94 = 7,204.75 : x
  2. Step 2: Convert to fraction form
    23,846.78/35,773.94 = 7,204.75/x
  3. Step 3: Cross multiply
    23,846.78x = 35,773.94 × 7,204.75
  4. Step 4: Simplify right side
    23,846.78x = 257,742,294.22
  5. Step 5: Solve for x
    x = 257,742,294.22/23,846.78
  6. Step 6: Final answer
    x = 10,808.26

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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.