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Finding the Fourth Proportional to 23,201.33, 34,808.94 and 9,163.35

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Solution

The fourth proportional to 23,201.33, 34,808.94 and 9,163.35 is: 13,747.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,201.33 : 34,808.94 = 9,163.35 : x
  2. Step 2: Convert to fraction form
    23,201.33/34,808.94 = 9,163.35/x
  3. Step 3: Cross multiply
    23,201.33x = 34,808.94 × 9,163.35
  4. Step 4: Simplify right side
    23,201.33x = 318,966,500.35
  5. Step 5: Solve for x
    x = 318,966,500.35/23,201.33
  6. Step 6: Final answer
    x = 13,747.77

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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.