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Finding the Fourth Proportional to 20,102.44, 30,148.86 and 7,623.64

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Solution

The fourth proportional to 20,102.44, 30,148.86 and 7,623.64 is: 11,433.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,102.44 : 30,148.86 = 7,623.64 : x
  2. Step 2: Convert to fraction form
    20,102.44/30,148.86 = 7,623.64/x
  3. Step 3: Cross multiply
    20,102.44x = 30,148.86 × 7,623.64
  4. Step 4: Simplify right side
    20,102.44x = 229,844,055.05
  5. Step 5: Solve for x
    x = 229,844,055.05/20,102.44
  6. Step 6: Final answer
    x = 11,433.64

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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.