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Finding the Fourth Proportional to 29,413.92, 40,590 and 16,836.96

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Solution

The fourth proportional to 29,413.92, 40,590 and 16,836.96 is: 23,234.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,413.92 : 40,590 = 16,836.96 : x
  2. Step 2: Convert to fraction form
    29,413.92/40,590 = 16,836.96/x
  3. Step 3: Cross multiply
    29,413.92x = 40,590 × 16,836.96
  4. Step 4: Simplify right side
    29,413.92x = 683,412,206.40
  5. Step 5: Solve for x
    x = 683,412,206.40/29,413.92
  6. Step 6: Final answer
    x = 23,234.31

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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.