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Finding the Fourth Proportional to 12,782.56, 17,654.69 and 8,526.22

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Solution

The fourth proportional to 12,782.56, 17,654.69 and 8,526.22 is: 11,776.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782.56 : 17,654.69 = 8,526.22 : x
  2. Step 2: Convert to fraction form
    12,782.56/17,654.69 = 8,526.22/x
  3. Step 3: Cross multiply
    12,782.56x = 17,654.69 × 8,526.22
  4. Step 4: Simplify right side
    12,782.56x = 150,527,770.97
  5. Step 5: Solve for x
    x = 150,527,770.97/12,782.56
  6. Step 6: Final answer
    x = 11,776.03

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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.