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Finding the Fourth Proportional to 15,991.84, 23,974.08 and 6,138.19

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Solution

The fourth proportional to 15,991.84, 23,974.08 and 6,138.19 is: 9,202.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,991.84 : 23,974.08 = 6,138.19 : x
  2. Step 2: Convert to fraction form
    15,991.84/23,974.08 = 6,138.19/x
  3. Step 3: Cross multiply
    15,991.84x = 23,974.08 × 6,138.19
  4. Step 4: Simplify right side
    15,991.84x = 147,157,458.12
  5. Step 5: Solve for x
    x = 147,157,458.12/15,991.84
  6. Step 6: Final answer
    x = 9,202.03

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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.