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Finding the Fourth Proportional to 13,935.09, 20,902.23 and 4,074.60

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Solution

The fourth proportional to 13,935.09, 20,902.23 and 4,074.60 is: 6,111.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,935.09 : 20,902.23 = 4,074.60 : x
  2. Step 2: Convert to fraction form
    13,935.09/20,902.23 = 4,074.60/x
  3. Step 3: Cross multiply
    13,935.09x = 20,902.23 × 4,074.60
  4. Step 4: Simplify right side
    13,935.09x = 85,168,226.36
  5. Step 5: Solve for x
    x = 85,168,226.36/13,935.09
  6. Step 6: Final answer
    x = 6,111.78

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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.