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Finding the Fourth Proportional to 12,273.12, 16,936.92 and 6,684

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Solution

The fourth proportional to 12,273.12, 16,936.92 and 6,684 is: 9,223.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,273.12 : 16,936.92 = 6,684 : x
  2. Step 2: Convert to fraction form
    12,273.12/16,936.92 = 6,684/x
  3. Step 3: Cross multiply
    12,273.12x = 16,936.92 × 6,684
  4. Step 4: Simplify right side
    12,273.12x = 113,206,373.28
  5. Step 5: Solve for x
    x = 113,206,373.28/12,273.12
  6. Step 6: Final answer
    x = 9,223.93

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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.