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Finding the Fourth Proportional to 17,926.26, 26,893.02 and 7,538

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Solution

The fourth proportional to 17,926.26, 26,893.02 and 7,538 is: 11,308.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,926.26 : 26,893.02 = 7,538 : x
  2. Step 2: Convert to fraction form
    17,926.26/26,893.02 = 7,538/x
  3. Step 3: Cross multiply
    17,926.26x = 26,893.02 × 7,538
  4. Step 4: Simplify right side
    17,926.26x = 202,719,584.76
  5. Step 5: Solve for x
    x = 202,719,584.76/17,926.26
  6. Step 6: Final answer
    x = 11,308.53

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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.