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Finding the Fourth Proportional to 24,736.82, 34,136.82 and 13,406.40

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Solution

The fourth proportional to 24,736.82, 34,136.82 and 13,406.40 is: 18,500.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,736.82 : 34,136.82 = 13,406.40 : x
  2. Step 2: Convert to fraction form
    24,736.82/34,136.82 = 13,406.40/x
  3. Step 3: Cross multiply
    24,736.82x = 34,136.82 × 13,406.40
  4. Step 4: Simplify right side
    24,736.82x = 457,651,863.65
  5. Step 5: Solve for x
    x = 457,651,863.65/24,736.82
  6. Step 6: Final answer
    x = 18,500.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.