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Finding the Fourth Proportional to 16,256, 24,379.05 and 8,460.56

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Solution

The fourth proportional to 16,256, 24,379.05 and 8,460.56 is: 12,688.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,256 : 24,379.05 = 8,460.56 : x
  2. Step 2: Convert to fraction form
    16,256/24,379.05 = 8,460.56/x
  3. Step 3: Cross multiply
    16,256x = 24,379.05 × 8,460.56
  4. Step 4: Simplify right side
    16,256x = 206,260,415.27
  5. Step 5: Solve for x
    x = 206,260,415.27/16,256
  6. Step 6: Final answer
    x = 12,688.26

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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.