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Finding the Fourth Proportional to 20,548.96, 30,825.36 and 9,458.72

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Solution

The fourth proportional to 20,548.96, 30,825.36 and 9,458.72 is: 14,188.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,548.96 : 30,825.36 = 9,458.72 : x
  2. Step 2: Convert to fraction form
    20,548.96/30,825.36 = 9,458.72/x
  3. Step 3: Cross multiply
    20,548.96x = 30,825.36 × 9,458.72
  4. Step 4: Simplify right side
    20,548.96x = 291,568,449.14
  5. Step 5: Solve for x
    x = 291,568,449.14/20,548.96
  6. Step 6: Final answer
    x = 14,188.96

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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.