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Finding the Fourth Proportional to 12,204.93, 16,842.13 and 6,899.41

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Solution

The fourth proportional to 12,204.93, 16,842.13 and 6,899.41 is: 9,520.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,204.93 : 16,842.13 = 6,899.41 : x
  2. Step 2: Convert to fraction form
    12,204.93/16,842.13 = 6,899.41/x
  3. Step 3: Cross multiply
    12,204.93x = 16,842.13 × 6,899.41
  4. Step 4: Simplify right side
    12,204.93x = 116,200,763.95
  5. Step 5: Solve for x
    x = 116,200,763.95/12,204.93
  6. Step 6: Final answer
    x = 9,520.81

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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.