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Finding the Fourth Proportional to 12,882.48, 17,770.40 and 7,576.32

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Solution

The fourth proportional to 12,882.48, 17,770.40 and 7,576.32 is: 10,450.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,882.48 : 17,770.40 = 7,576.32 : x
  2. Step 2: Convert to fraction form
    12,882.48/17,770.40 = 7,576.32/x
  3. Step 3: Cross multiply
    12,882.48x = 17,770.40 × 7,576.32
  4. Step 4: Simplify right side
    12,882.48x = 134,634,236.93
  5. Step 5: Solve for x
    x = 134,634,236.93/12,882.48
  6. Step 6: Final answer
    x = 10,450.96

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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.