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Finding the Fourth Proportional to 16,423.54, 24,636.16 and 7,997.80

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Solution

The fourth proportional to 16,423.54, 24,636.16 and 7,997.80 is: 11,997.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,423.54 : 24,636.16 = 7,997.80 : x
  2. Step 2: Convert to fraction form
    16,423.54/24,636.16 = 7,997.80/x
  3. Step 3: Cross multiply
    16,423.54x = 24,636.16 × 7,997.80
  4. Step 4: Simplify right side
    16,423.54x = 197,035,080.45
  5. Step 5: Solve for x
    x = 197,035,080.45/16,423.54
  6. Step 6: Final answer
    x = 11,997.11

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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.