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Finding the Fourth Proportional to 14,676.30, 21,975.57 and 7,736.22

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Solution

The fourth proportional to 14,676.30, 21,975.57 and 7,736.22 is: 11,583.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,676.30 : 21,975.57 = 7,736.22 : x
  2. Step 2: Convert to fraction form
    14,676.30/21,975.57 = 7,736.22/x
  3. Step 3: Cross multiply
    14,676.30x = 21,975.57 × 7,736.22
  4. Step 4: Simplify right side
    14,676.30x = 170,007,844.15
  5. Step 5: Solve for x
    x = 170,007,844.15/14,676.30
  6. Step 6: Final answer
    x = 11,583.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.