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Finding the Fourth Proportional to 29,841.74, 41,182.61 and 16,413.50

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Solution

The fourth proportional to 29,841.74, 41,182.61 and 16,413.50 is: 22,651.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,841.74 : 41,182.61 = 16,413.50 : x
  2. Step 2: Convert to fraction form
    29,841.74/41,182.61 = 16,413.50/x
  3. Step 3: Cross multiply
    29,841.74x = 41,182.61 × 16,413.50
  4. Step 4: Simplify right side
    29,841.74x = 675,950,769.24
  5. Step 5: Solve for x
    x = 675,950,769.24/29,841.74
  6. Step 6: Final answer
    x = 22,651.18

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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.