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Finding the Fourth Proportional to 20,651.24, 30,978.03 and 5,859

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Solution

The fourth proportional to 20,651.24, 30,978.03 and 5,859 is: 8,788.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,651.24 : 30,978.03 = 5,859 : x
  2. Step 2: Convert to fraction form
    20,651.24/30,978.03 = 5,859/x
  3. Step 3: Cross multiply
    20,651.24x = 30,978.03 × 5,859
  4. Step 4: Simplify right side
    20,651.24x = 181,500,277.77
  5. Step 5: Solve for x
    x = 181,500,277.77/20,651.24
  6. Step 6: Final answer
    x = 8,788.83

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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.