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Finding the Fourth Proportional to 15,922.37, 23,884.08 and 7,157.31

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Solution

The fourth proportional to 15,922.37, 23,884.08 and 7,157.31 is: 10,736.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,922.37 : 23,884.08 = 7,157.31 : x
  2. Step 2: Convert to fraction form
    15,922.37/23,884.08 = 7,157.31/x
  3. Step 3: Cross multiply
    15,922.37x = 23,884.08 × 7,157.31
  4. Step 4: Simplify right side
    15,922.37x = 170,945,722.81
  5. Step 5: Solve for x
    x = 170,945,722.81/15,922.37
  6. Step 6: Final answer
    x = 10,736.20

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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.