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Finding the Fourth Proportional to 16,453.77, 24,680.66 and 7,694.84

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Solution

The fourth proportional to 16,453.77, 24,680.66 and 7,694.84 is: 11,542.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,453.77 : 24,680.66 = 7,694.84 : x
  2. Step 2: Convert to fraction form
    16,453.77/24,680.66 = 7,694.84/x
  3. Step 3: Cross multiply
    16,453.77x = 24,680.66 × 7,694.84
  4. Step 4: Simplify right side
    16,453.77x = 189,913,567.92
  5. Step 5: Solve for x
    x = 189,913,567.92/16,453.77
  6. Step 6: Final answer
    x = 11,542.25

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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.