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Finding the Fourth Proportional to 11,316.06, 16,881.09 and 9,662.14

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Solution

The fourth proportional to 11,316.06, 16,881.09 and 9,662.14 is: 14,413.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,316.06 : 16,881.09 = 9,662.14 : x
  2. Step 2: Convert to fraction form
    11,316.06/16,881.09 = 9,662.14/x
  3. Step 3: Cross multiply
    11,316.06x = 16,881.09 × 9,662.14
  4. Step 4: Simplify right side
    11,316.06x = 163,107,439.80
  5. Step 5: Solve for x
    x = 163,107,439.80/11,316.06
  6. Step 6: Final answer
    x = 14,413.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.