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Finding the Fourth Proportional to 12,204.90, 16,840.68 and 6,899.60

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Solution

The fourth proportional to 12,204.90, 16,840.68 and 6,899.60 is: 9,520.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,204.90 : 16,840.68 = 6,899.60 : x
  2. Step 2: Convert to fraction form
    12,204.90/16,840.68 = 6,899.60/x
  3. Step 3: Cross multiply
    12,204.90x = 16,840.68 × 6,899.60
  4. Step 4: Simplify right side
    12,204.90x = 116,193,971.96
  5. Step 5: Solve for x
    x = 116,193,971.96/12,204.90
  6. Step 6: Final answer
    x = 9,520.27

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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.