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Finding the Fourth Proportional to 23,704.92, 32,713.10 and 13,633.56

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Solution

The fourth proportional to 23,704.92, 32,713.10 and 13,633.56 is: 18,814.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,704.92 : 32,713.10 = 13,633.56 : x
  2. Step 2: Convert to fraction form
    23,704.92/32,713.10 = 13,633.56/x
  3. Step 3: Cross multiply
    23,704.92x = 32,713.10 × 13,633.56
  4. Step 4: Simplify right side
    23,704.92x = 445,996,011.64
  5. Step 5: Solve for x
    x = 445,996,011.64/23,704.92
  6. Step 6: Final answer
    x = 18,814.49

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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.