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Finding the Fourth Proportional to 12,768.96, 19,152.92 and 3,408.96

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Solution

The fourth proportional to 12,768.96, 19,152.92 and 3,408.96 is: 5,113.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,768.96 : 19,152.92 = 3,408.96 : x
  2. Step 2: Convert to fraction form
    12,768.96/19,152.92 = 3,408.96/x
  3. Step 3: Cross multiply
    12,768.96x = 19,152.92 × 3,408.96
  4. Step 4: Simplify right side
    12,768.96x = 65,291,538.16
  5. Step 5: Solve for x
    x = 65,291,538.16/12,768.96
  6. Step 6: Final answer
    x = 5,113.30

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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.