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Finding the Fourth Proportional to 17,462.40, 26,178.08 and 6,367

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Solution

The fourth proportional to 17,462.40, 26,178.08 and 6,367 is: 9,544.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,462.40 : 26,178.08 = 6,367 : x
  2. Step 2: Convert to fraction form
    17,462.40/26,178.08 = 6,367/x
  3. Step 3: Cross multiply
    17,462.40x = 26,178.08 × 6,367
  4. Step 4: Simplify right side
    17,462.40x = 166,675,835.36
  5. Step 5: Solve for x
    x = 166,675,835.36/17,462.40
  6. Step 6: Final answer
    x = 9,544.84

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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.