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Finding the Fourth Proportional to 13,456.09, 20,181.80 and 4,093.84

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Solution

The fourth proportional to 13,456.09, 20,181.80 and 4,093.84 is: 6,140.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,456.09 : 20,181.80 = 4,093.84 : x
  2. Step 2: Convert to fraction form
    13,456.09/20,181.80 = 4,093.84/x
  3. Step 3: Cross multiply
    13,456.09x = 20,181.80 × 4,093.84
  4. Step 4: Simplify right side
    13,456.09x = 82,621,019.89
  5. Step 5: Solve for x
    x = 82,621,019.89/13,456.09
  6. Step 6: Final answer
    x = 6,140.05

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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.