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Finding the Fourth Proportional to 20,029.73, 30,059.36 and 9,499.77

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Solution

The fourth proportional to 20,029.73, 30,059.36 and 9,499.77 is: 14,256.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,029.73 : 30,059.36 = 9,499.77 : x
  2. Step 2: Convert to fraction form
    20,029.73/30,059.36 = 9,499.77/x
  3. Step 3: Cross multiply
    20,029.73x = 30,059.36 × 9,499.77
  4. Step 4: Simplify right side
    20,029.73x = 285,556,958.85
  5. Step 5: Solve for x
    x = 285,556,958.85/20,029.73
  6. Step 6: Final answer
    x = 14,256.66

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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.