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Finding the Fourth Proportional to 12,194.46, 16,828.38 and 6,605.46

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Solution

The fourth proportional to 12,194.46, 16,828.38 and 6,605.46 is: 9,115.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194.46 : 16,828.38 = 6,605.46 : x
  2. Step 2: Convert to fraction form
    12,194.46/16,828.38 = 6,605.46/x
  3. Step 3: Cross multiply
    12,194.46x = 16,828.38 × 6,605.46
  4. Step 4: Simplify right side
    12,194.46x = 111,159,190.95
  5. Step 5: Solve for x
    x = 111,159,190.95/12,194.46
  6. Step 6: Final answer
    x = 9,115.55

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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.