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Finding the Fourth Proportional to 13,704.54, 20,532.48 and 9,306.24

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Solution

The fourth proportional to 13,704.54, 20,532.48 and 9,306.24 is: 13,942.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,704.54 : 20,532.48 = 9,306.24 : x
  2. Step 2: Convert to fraction form
    13,704.54/20,532.48 = 9,306.24/x
  3. Step 3: Cross multiply
    13,704.54x = 20,532.48 × 9,306.24
  4. Step 4: Simplify right side
    13,704.54x = 191,080,186.68
  5. Step 5: Solve for x
    x = 191,080,186.68/13,704.54
  6. Step 6: Final answer
    x = 13,942.84

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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.