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Finding the Fourth Proportional to 16,025.66, 24,047.09 and 8,234.47

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Solution

The fourth proportional to 16,025.66, 24,047.09 and 8,234.47 is: 12,356.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,025.66 : 24,047.09 = 8,234.47 : x
  2. Step 2: Convert to fraction form
    16,025.66/24,047.09 = 8,234.47/x
  3. Step 3: Cross multiply
    16,025.66x = 24,047.09 × 8,234.47
  4. Step 4: Simplify right side
    16,025.66x = 198,014,879.78
  5. Step 5: Solve for x
    x = 198,014,879.78/16,025.66
  6. Step 6: Final answer
    x = 12,356.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.