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Finding the Fourth Proportional to 20,566.89, 30,825.63 and 9,458.28

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Solution

The fourth proportional to 20,566.89, 30,825.63 and 9,458.28 is: 14,176.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,566.89 : 30,825.63 = 9,458.28 : x
  2. Step 2: Convert to fraction form
    20,566.89/30,825.63 = 9,458.28/x
  3. Step 3: Cross multiply
    20,566.89x = 30,825.63 × 9,458.28
  4. Step 4: Simplify right side
    20,566.89x = 291,557,439.72
  5. Step 5: Solve for x
    x = 291,557,439.72/20,566.89
  6. Step 6: Final answer
    x = 14,176.06

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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.