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Finding the Fourth Proportional to 17,464.68, 26,197.20 and 7,074

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Solution

The fourth proportional to 17,464.68, 26,197.20 and 7,074 is: 10,611.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,464.68 : 26,197.20 = 7,074 : x
  2. Step 2: Convert to fraction form
    17,464.68/26,197.20 = 7,074/x
  3. Step 3: Cross multiply
    17,464.68x = 26,197.20 × 7,074
  4. Step 4: Simplify right side
    17,464.68x = 185,318,992.80
  5. Step 5: Solve for x
    x = 185,318,992.80/17,464.68
  6. Step 6: Final answer
    x = 10,611.07

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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.