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Finding the Fourth Proportional to 20,901.27, 31,351.56 and 8,420.99

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Solution

The fourth proportional to 20,901.27, 31,351.56 and 8,420.99 is: 12,631.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,901.27 : 31,351.56 = 8,420.99 : x
  2. Step 2: Convert to fraction form
    20,901.27/31,351.56 = 8,420.99/x
  3. Step 3: Cross multiply
    20,901.27x = 31,351.56 × 8,420.99
  4. Step 4: Simplify right side
    20,901.27x = 264,011,073.08
  5. Step 5: Solve for x
    x = 264,011,073.08/20,901.27
  6. Step 6: Final answer
    x = 12,631.34

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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.