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Finding the Fourth Proportional to 17,000.40, 25,471.80 and 8,216.40

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Solution

The fourth proportional to 17,000.40, 25,471.80 and 8,216.40 is: 12,310.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,000.40 : 25,471.80 = 8,216.40 : x
  2. Step 2: Convert to fraction form
    17,000.40/25,471.80 = 8,216.40/x
  3. Step 3: Cross multiply
    17,000.40x = 25,471.80 × 8,216.40
  4. Step 4: Simplify right side
    17,000.40x = 209,286,497.52
  5. Step 5: Solve for x
    x = 209,286,497.52/17,000.40
  6. Step 6: Final answer
    x = 12,310.68

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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.