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Finding the Fourth Proportional to 23,202.96, 34,806.54 and 6,563.16

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Solution

The fourth proportional to 23,202.96, 34,806.54 and 6,563.16 is: 9,845.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,202.96 : 34,806.54 = 6,563.16 : x
  2. Step 2: Convert to fraction form
    23,202.96/34,806.54 = 6,563.16/x
  3. Step 3: Cross multiply
    23,202.96x = 34,806.54 × 6,563.16
  4. Step 4: Simplify right side
    23,202.96x = 228,440,891.07
  5. Step 5: Solve for x
    x = 228,440,891.07/23,202.96
  6. Step 6: Final answer
    x = 9,845.33

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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.