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Finding the Fourth Proportional to 16,008.63, 24,014.76 and 8,219.26

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Solution

The fourth proportional to 16,008.63, 24,014.76 and 8,219.26 is: 12,329.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,008.63 : 24,014.76 = 8,219.26 : x
  2. Step 2: Convert to fraction form
    16,008.63/24,014.76 = 8,219.26/x
  3. Step 3: Cross multiply
    16,008.63x = 24,014.76 × 8,219.26
  4. Step 4: Simplify right side
    16,008.63x = 197,383,556.28
  5. Step 5: Solve for x
    x = 197,383,556.28/16,008.63
  6. Step 6: Final answer
    x = 12,329.82

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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.