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Finding the Fourth Proportional to 17,129.30, 23,642.24 and 10,413.50

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Solution

The fourth proportional to 17,129.30, 23,642.24 and 10,413.50 is: 14,372.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,129.30 : 23,642.24 = 10,413.50 : x
  2. Step 2: Convert to fraction form
    17,129.30/23,642.24 = 10,413.50/x
  3. Step 3: Cross multiply
    17,129.30x = 23,642.24 × 10,413.50
  4. Step 4: Simplify right side
    17,129.30x = 246,198,466.24
  5. Step 5: Solve for x
    x = 246,198,466.24/17,129.30
  6. Step 6: Final answer
    x = 14,372.94

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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.