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Finding the Fourth Proportional to 12,217.68, 16,844.88 and 9,977.28

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Solution

The fourth proportional to 12,217.68, 16,844.88 and 9,977.28 is: 13,755.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,217.68 : 16,844.88 = 9,977.28 : x
  2. Step 2: Convert to fraction form
    12,217.68/16,844.88 = 9,977.28/x
  3. Step 3: Cross multiply
    12,217.68x = 16,844.88 × 9,977.28
  4. Step 4: Simplify right side
    12,217.68x = 168,066,084.33
  5. Step 5: Solve for x
    x = 168,066,084.33/12,217.68
  6. Step 6: Final answer
    x = 13,755.97

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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.