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Finding the Fourth Proportional to 19,413.82, 26,755.54 and 14,099.41

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Solution

The fourth proportional to 19,413.82, 26,755.54 and 14,099.41 is: 19,431.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,413.82 : 26,755.54 = 14,099.41 : x
  2. Step 2: Convert to fraction form
    19,413.82/26,755.54 = 14,099.41/x
  3. Step 3: Cross multiply
    19,413.82x = 26,755.54 × 14,099.41
  4. Step 4: Simplify right side
    19,413.82x = 377,237,328.23
  5. Step 5: Solve for x
    x = 377,237,328.23/19,413.82
  6. Step 6: Final answer
    x = 19,431.38

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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.