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Finding the Fourth Proportional to 13,744.80, 20,617.20 and 12,823.20

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Solution

The fourth proportional to 13,744.80, 20,617.20 and 12,823.20 is: 19,234.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,744.80 : 20,617.20 = 12,823.20 : x
  2. Step 2: Convert to fraction form
    13,744.80/20,617.20 = 12,823.20/x
  3. Step 3: Cross multiply
    13,744.80x = 20,617.20 × 12,823.20
  4. Step 4: Simplify right side
    13,744.80x = 264,378,479.04
  5. Step 5: Solve for x
    x = 264,378,479.04/13,744.80
  6. Step 6: Final answer
    x = 19,234.80

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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.