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Finding the Fourth Proportional to 16,451.42, 24,676.72 and 7,696.13

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Solution

The fourth proportional to 16,451.42, 24,676.72 and 7,696.13 is: 11,544.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,451.42 : 24,676.72 = 7,696.13 : x
  2. Step 2: Convert to fraction form
    16,451.42/24,676.72 = 7,696.13/x
  3. Step 3: Cross multiply
    16,451.42x = 24,676.72 × 7,696.13
  4. Step 4: Simplify right side
    16,451.42x = 189,915,245.09
  5. Step 5: Solve for x
    x = 189,915,245.09/16,451.42
  6. Step 6: Final answer
    x = 11,544.00

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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.