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Finding the Fourth Proportional to 17,413.98, 26,127.45 and 8,173.50

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Solution

The fourth proportional to 17,413.98, 26,127.45 and 8,173.50 is: 12,263.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,413.98 : 26,127.45 = 8,173.50 : x
  2. Step 2: Convert to fraction form
    17,413.98/26,127.45 = 8,173.50/x
  3. Step 3: Cross multiply
    17,413.98x = 26,127.45 × 8,173.50
  4. Step 4: Simplify right side
    17,413.98x = 213,552,712.58
  5. Step 5: Solve for x
    x = 213,552,712.58/17,413.98
  6. Step 6: Final answer
    x = 12,263.29

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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.