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Finding the Fourth Proportional to 17,211.88, 23,733.42 and 11,897.47

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Solution

The fourth proportional to 17,211.88, 23,733.42 and 11,897.47 is: 16,405.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,211.88 : 23,733.42 = 11,897.47 : x
  2. Step 2: Convert to fraction form
    17,211.88/23,733.42 = 11,897.47/x
  3. Step 3: Cross multiply
    17,211.88x = 23,733.42 × 11,897.47
  4. Step 4: Simplify right side
    17,211.88x = 282,367,474.29
  5. Step 5: Solve for x
    x = 282,367,474.29/17,211.88
  6. Step 6: Final answer
    x = 16,405.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.