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Finding the Fourth Proportional to 16,520.74, 24,762.39 and 8,206.54

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Solution

The fourth proportional to 16,520.74, 24,762.39 and 8,206.54 is: 12,300.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,520.74 : 24,762.39 = 8,206.54 : x
  2. Step 2: Convert to fraction form
    16,520.74/24,762.39 = 8,206.54/x
  3. Step 3: Cross multiply
    16,520.74x = 24,762.39 × 8,206.54
  4. Step 4: Simplify right side
    16,520.74x = 203,213,544.03
  5. Step 5: Solve for x
    x = 203,213,544.03/16,520.74
  6. Step 6: Final answer
    x = 12,300.51

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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.