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Finding the Fourth Proportional to 12,781.56, 17,653.31 and 8,525.22

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Solution

The fourth proportional to 12,781.56, 17,653.31 and 8,525.22 is: 11,774.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,781.56 : 17,653.31 = 8,525.22 : x
  2. Step 2: Convert to fraction form
    12,781.56/17,653.31 = 8,525.22/x
  3. Step 3: Cross multiply
    12,781.56x = 17,653.31 × 8,525.22
  4. Step 4: Simplify right side
    12,781.56x = 150,498,308.85
  5. Step 5: Solve for x
    x = 150,498,308.85/12,781.56
  6. Step 6: Final answer
    x = 11,774.64

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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.