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Finding the Fourth Proportional to 13,591.84, 18,793.74 and 11,842.24

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Solution

The fourth proportional to 13,591.84, 18,793.74 and 11,842.24 is: 16,374.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,591.84 : 18,793.74 = 11,842.24 : x
  2. Step 2: Convert to fraction form
    13,591.84/18,793.74 = 11,842.24/x
  3. Step 3: Cross multiply
    13,591.84x = 18,793.74 × 11,842.24
  4. Step 4: Simplify right side
    13,591.84x = 222,559,979.58
  5. Step 5: Solve for x
    x = 222,559,979.58/13,591.84
  6. Step 6: Final answer
    x = 16,374.53

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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.