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Finding the Fourth Proportional to 12,336.96, 17,024.64 and 6,747.84

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Solution

The fourth proportional to 12,336.96, 17,024.64 and 6,747.84 is: 9,311.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,336.96 : 17,024.64 = 6,747.84 : x
  2. Step 2: Convert to fraction form
    12,336.96/17,024.64 = 6,747.84/x
  3. Step 3: Cross multiply
    12,336.96x = 17,024.64 × 6,747.84
  4. Step 4: Simplify right side
    12,336.96x = 114,879,546.78
  5. Step 5: Solve for x
    x = 114,879,546.78/12,336.96
  6. Step 6: Final answer
    x = 9,311.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.