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Finding the Fourth Proportional to 16,486.13, 22,752.49 and 9,413.62

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Solution

The fourth proportional to 16,486.13, 22,752.49 and 9,413.62 is: 12,991.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,486.13 : 22,752.49 = 9,413.62 : x
  2. Step 2: Convert to fraction form
    16,486.13/22,752.49 = 9,413.62/x
  3. Step 3: Cross multiply
    16,486.13x = 22,752.49 × 9,413.62
  4. Step 4: Simplify right side
    16,486.13x = 214,183,294.91
  5. Step 5: Solve for x
    x = 214,183,294.91/16,486.13
  6. Step 6: Final answer
    x = 12,991.73

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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.