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Finding the Fourth Proportional to 17,221.10, 25,847.82 and 8,462.30

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Solution

The fourth proportional to 17,221.10, 25,847.82 and 8,462.30 is: 12,701.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,221.10 : 25,847.82 = 8,462.30 : x
  2. Step 2: Convert to fraction form
    17,221.10/25,847.82 = 8,462.30/x
  3. Step 3: Cross multiply
    17,221.10x = 25,847.82 × 8,462.30
  4. Step 4: Simplify right side
    17,221.10x = 218,732,007.19
  5. Step 5: Solve for x
    x = 218,732,007.19/17,221.10
  6. Step 6: Final answer
    x = 12,701.40

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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.