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Finding the Fourth Proportional to 12,704.12, 17,525.94 and 7,666.73

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Solution

The fourth proportional to 12,704.12, 17,525.94 and 7,666.73 is: 10,576.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,704.12 : 17,525.94 = 7,666.73 : x
  2. Step 2: Convert to fraction form
    12,704.12/17,525.94 = 7,666.73/x
  3. Step 3: Cross multiply
    12,704.12x = 17,525.94 × 7,666.73
  4. Step 4: Simplify right side
    12,704.12x = 134,366,693.79
  5. Step 5: Solve for x
    x = 134,366,693.79/12,704.12
  6. Step 6: Final answer
    x = 10,576.62

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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.