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Finding the Fourth Proportional to 20,900.69, 31,352.06 and 8,419.03

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Solution

The fourth proportional to 20,900.69, 31,352.06 and 8,419.03 is: 12,628.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,900.69 : 31,352.06 = 8,419.03 : x
  2. Step 2: Convert to fraction form
    20,900.69/31,352.06 = 8,419.03/x
  3. Step 3: Cross multiply
    20,900.69x = 31,352.06 × 8,419.03
  4. Step 4: Simplify right side
    20,900.69x = 263,953,876.37
  5. Step 5: Solve for x
    x = 263,953,876.37/20,900.69
  6. Step 6: Final answer
    x = 12,628.96

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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.