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Finding the Fourth Proportional to 16,078.96, 24,087.84 and 7,734.34

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Solution

The fourth proportional to 16,078.96, 24,087.84 and 7,734.34 is: 11,586.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,078.96 : 24,087.84 = 7,734.34 : x
  2. Step 2: Convert to fraction form
    16,078.96/24,087.84 = 7,734.34/x
  3. Step 3: Cross multiply
    16,078.96x = 24,087.84 × 7,734.34
  4. Step 4: Simplify right side
    16,078.96x = 186,303,544.43
  5. Step 5: Solve for x
    x = 186,303,544.43/16,078.96
  6. Step 6: Final answer
    x = 11,586.79

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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.