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Finding the Fourth Proportional to 12,272.96, 16,936.64 and 6,684

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Solution

The fourth proportional to 12,272.96, 16,936.64 and 6,684 is: 9,223.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,272.96 : 16,936.64 = 6,684 : x
  2. Step 2: Convert to fraction form
    12,272.96/16,936.64 = 6,684/x
  3. Step 3: Cross multiply
    12,272.96x = 16,936.64 × 6,684
  4. Step 4: Simplify right side
    12,272.96x = 113,204,501.76
  5. Step 5: Solve for x
    x = 113,204,501.76/12,272.96
  6. Step 6: Final answer
    x = 9,223.90

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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.