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Finding the Fourth Proportional to 26,384.80, 39,490.80 and 20,509.60

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Solution

The fourth proportional to 26,384.80, 39,490.80 and 20,509.60 is: 30,697.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,384.80 : 39,490.80 = 20,509.60 : x
  2. Step 2: Convert to fraction form
    26,384.80/39,490.80 = 20,509.60/x
  3. Step 3: Cross multiply
    26,384.80x = 39,490.80 × 20,509.60
  4. Step 4: Simplify right side
    26,384.80x = 809,940,511.68
  5. Step 5: Solve for x
    x = 809,940,511.68/26,384.80
  6. Step 6: Final answer
    x = 30,697.24

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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.