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Finding the Fourth Proportional to 12,272.34, 16,935.83 and 6,683.34

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Solution

The fourth proportional to 12,272.34, 16,935.83 and 6,683.34 is: 9,223.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,272.34 : 16,935.83 = 6,683.34 : x
  2. Step 2: Convert to fraction form
    12,272.34/16,935.83 = 6,683.34/x
  3. Step 3: Cross multiply
    12,272.34x = 16,935.83 × 6,683.34
  4. Step 4: Simplify right side
    12,272.34x = 113,188,002.82
  5. Step 5: Solve for x
    x = 113,188,002.82/12,272.34
  6. Step 6: Final answer
    x = 9,223.01

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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.