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Finding the Fourth Proportional to 12,164.54, 18,248.86 and 3,842.60

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Solution

The fourth proportional to 12,164.54, 18,248.86 and 3,842.60 is: 5,764.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,164.54 : 18,248.86 = 3,842.60 : x
  2. Step 2: Convert to fraction form
    12,164.54/18,248.86 = 3,842.60/x
  3. Step 3: Cross multiply
    12,164.54x = 18,248.86 × 3,842.60
  4. Step 4: Simplify right side
    12,164.54x = 70,123,069.44
  5. Step 5: Solve for x
    x = 70,123,069.44/12,164.54
  6. Step 6: Final answer
    x = 5,764.55

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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.