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Finding the Fourth Proportional to 16,476.83, 24,684.23 and 8,147.09

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Solution

The fourth proportional to 16,476.83, 24,684.23 and 8,147.09 is: 12,205.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,476.83 : 24,684.23 = 8,147.09 : x
  2. Step 2: Convert to fraction form
    16,476.83/24,684.23 = 8,147.09/x
  3. Step 3: Cross multiply
    16,476.83x = 24,684.23 × 8,147.09
  4. Step 4: Simplify right side
    16,476.83x = 201,104,643.39
  5. Step 5: Solve for x
    x = 201,104,643.39/16,476.83
  6. Step 6: Final answer
    x = 12,205.30

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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.