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Finding the Fourth Proportional to 13,832.80, 20,716.80 and 9,426.40

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Solution

The fourth proportional to 13,832.80, 20,716.80 and 9,426.40 is: 14,117.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832.80 : 20,716.80 = 9,426.40 : x
  2. Step 2: Convert to fraction form
    13,832.80/20,716.80 = 9,426.40/x
  3. Step 3: Cross multiply
    13,832.80x = 20,716.80 × 9,426.40
  4. Step 4: Simplify right side
    13,832.80x = 195,284,843.52
  5. Step 5: Solve for x
    x = 195,284,843.52/13,832.80
  6. Step 6: Final answer
    x = 14,117.52

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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.