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Finding the Fourth Proportional to 17,965.65, 24,792.65 and 10,413.44

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Solution

The fourth proportional to 17,965.65, 24,792.65 and 10,413.44 is: 14,370.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,965.65 : 24,792.65 = 10,413.44 : x
  2. Step 2: Convert to fraction form
    17,965.65/24,792.65 = 10,413.44/x
  3. Step 3: Cross multiply
    17,965.65x = 24,792.65 × 10,413.44
  4. Step 4: Simplify right side
    17,965.65x = 258,176,597.19
  5. Step 5: Solve for x
    x = 258,176,597.19/17,965.65
  6. Step 6: Final answer
    x = 14,370.57

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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.