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Finding the Fourth Proportional to 12,282.21, 16,949.49 and 6,693.21

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Solution

The fourth proportional to 12,282.21, 16,949.49 and 6,693.21 is: 9,236.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,282.21 : 16,949.49 = 6,693.21 : x
  2. Step 2: Convert to fraction form
    12,282.21/16,949.49 = 6,693.21/x
  3. Step 3: Cross multiply
    12,282.21x = 16,949.49 × 6,693.21
  4. Step 4: Simplify right side
    12,282.21x = 113,446,495.96
  5. Step 5: Solve for x
    x = 113,446,495.96/12,282.21
  6. Step 6: Final answer
    x = 9,236.65

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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.