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Finding the Fourth Proportional to 17,413.23, 24,030.78 and 10,243.68

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Solution

The fourth proportional to 17,413.23, 24,030.78 and 10,243.68 is: 14,136.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,413.23 : 24,030.78 = 10,243.68 : x
  2. Step 2: Convert to fraction form
    17,413.23/24,030.78 = 10,243.68/x
  3. Step 3: Cross multiply
    17,413.23x = 24,030.78 × 10,243.68
  4. Step 4: Simplify right side
    17,413.23x = 246,163,620.47
  5. Step 5: Solve for x
    x = 246,163,620.47/17,413.23
  6. Step 6: Final answer
    x = 14,136.59

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