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Finding the Fourth Proportional to 11,894.64, 17,716.32 and 11,270.16

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Solution

The fourth proportional to 11,894.64, 17,716.32 and 11,270.16 is: 16,786.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.64 : 17,716.32 = 11,270.16 : x
  2. Step 2: Convert to fraction form
    11,894.64/17,716.32 = 11,270.16/x
  3. Step 3: Cross multiply
    11,894.64x = 17,716.32 × 11,270.16
  4. Step 4: Simplify right side
    11,894.64x = 199,665,761.01
  5. Step 5: Solve for x
    x = 199,665,761.01/11,894.64
  6. Step 6: Final answer
    x = 16,786.20

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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.