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Finding the Fourth Proportional to 16,241.96, 22,413.48 and 9,071.68

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Solution

The fourth proportional to 16,241.96, 22,413.48 and 9,071.68 is: 12,518.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,241.96 : 22,413.48 = 9,071.68 : x
  2. Step 2: Convert to fraction form
    16,241.96/22,413.48 = 9,071.68/x
  3. Step 3: Cross multiply
    16,241.96x = 22,413.48 × 9,071.68
  4. Step 4: Simplify right side
    16,241.96x = 203,327,918.25
  5. Step 5: Solve for x
    x = 203,327,918.25/16,241.96
  6. Step 6: Final answer
    x = 12,518.68

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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.