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Finding the Fourth Proportional to 13,204.73, 19,811.65 and 8,268.49

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Solution

The fourth proportional to 13,204.73, 19,811.65 and 8,268.49 is: 12,405.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,204.73 : 19,811.65 = 8,268.49 : x
  2. Step 2: Convert to fraction form
    13,204.73/19,811.65 = 8,268.49/x
  3. Step 3: Cross multiply
    13,204.73x = 19,811.65 × 8,268.49
  4. Step 4: Simplify right side
    13,204.73x = 163,812,429.91
  5. Step 5: Solve for x
    x = 163,812,429.91/13,204.73
  6. Step 6: Final answer
    x = 12,405.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.