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Finding the Fourth Proportional to 12,288.48, 16,958.16 and 6,699.44

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Solution

The fourth proportional to 12,288.48, 16,958.16 and 6,699.44 is: 9,245.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,288.48 : 16,958.16 = 6,699.44 : x
  2. Step 2: Convert to fraction form
    12,288.48/16,958.16 = 6,699.44/x
  3. Step 3: Cross multiply
    12,288.48x = 16,958.16 × 6,699.44
  4. Step 4: Simplify right side
    12,288.48x = 113,610,175.43
  5. Step 5: Solve for x
    x = 113,610,175.43/12,288.48
  6. Step 6: Final answer
    x = 9,245.26

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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.