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Finding the Fourth Proportional to 12,194.49, 16,842.28 and 8,208.68

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Solution

The fourth proportional to 12,194.49, 16,842.28 and 8,208.68 is: 11,337.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194.49 : 16,842.28 = 8,208.68 : x
  2. Step 2: Convert to fraction form
    12,194.49/16,842.28 = 8,208.68/x
  3. Step 3: Cross multiply
    12,194.49x = 16,842.28 × 8,208.68
  4. Step 4: Simplify right side
    12,194.49x = 138,252,886.99
  5. Step 5: Solve for x
    x = 138,252,886.99/12,194.49
  6. Step 6: Final answer
    x = 11,337.32

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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.