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Finding the Fourth Proportional to 17,083.72, 23,597.94 and 13,097.98

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Solution

The fourth proportional to 17,083.72, 23,597.94 and 13,097.98 is: 18,092.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,083.72 : 23,597.94 = 13,097.98 : x
  2. Step 2: Convert to fraction form
    17,083.72/23,597.94 = 13,097.98/x
  3. Step 3: Cross multiply
    17,083.72x = 23,597.94 × 13,097.98
  4. Step 4: Simplify right side
    17,083.72x = 309,085,346.16
  5. Step 5: Solve for x
    x = 309,085,346.16/17,083.72
  6. Step 6: Final answer
    x = 18,092.39

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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.