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Finding the Fourth Proportional to 23,184.46, 34,779.42 and 7,383.96

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Solution

The fourth proportional to 23,184.46, 34,779.42 and 7,383.96 is: 11,076.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,184.46 : 34,779.42 = 7,383.96 : x
  2. Step 2: Convert to fraction form
    23,184.46/34,779.42 = 7,383.96/x
  3. Step 3: Cross multiply
    23,184.46x = 34,779.42 × 7,383.96
  4. Step 4: Simplify right side
    23,184.46x = 256,809,846.10
  5. Step 5: Solve for x
    x = 256,809,846.10/23,184.46
  6. Step 6: Final answer
    x = 11,076.81

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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.