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Finding the Fourth Proportional to 15,912.96, 23,821.92 and 9,654

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Solution

The fourth proportional to 15,912.96, 23,821.92 and 9,654 is: 14,452.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,912.96 : 23,821.92 = 9,654 : x
  2. Step 2: Convert to fraction form
    15,912.96/23,821.92 = 9,654/x
  3. Step 3: Cross multiply
    15,912.96x = 23,821.92 × 9,654
  4. Step 4: Simplify right side
    15,912.96x = 229,976,815.68
  5. Step 5: Solve for x
    x = 229,976,815.68/15,912.96
  6. Step 6: Final answer
    x = 14,452.17

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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.