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Finding the Fourth Proportional to 17,813.80, 24,591.20 and 12,713.20

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Solution

The fourth proportional to 17,813.80, 24,591.20 and 12,713.20 is: 17,550.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,813.80 : 24,591.20 = 12,713.20 : x
  2. Step 2: Convert to fraction form
    17,813.80/24,591.20 = 12,713.20/x
  3. Step 3: Cross multiply
    17,813.80x = 24,591.20 × 12,713.20
  4. Step 4: Simplify right side
    17,813.80x = 312,632,843.84
  5. Step 5: Solve for x
    x = 312,632,843.84/17,813.80
  6. Step 6: Final answer
    x = 17,550.04

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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.