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Finding the Fourth Proportional to 11,530.86, 17,297.25 and 8,449.21

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Solution

The fourth proportional to 11,530.86, 17,297.25 and 8,449.21 is: 12,674.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,530.86 : 17,297.25 = 8,449.21 : x
  2. Step 2: Convert to fraction form
    11,530.86/17,297.25 = 8,449.21/x
  3. Step 3: Cross multiply
    11,530.86x = 17,297.25 × 8,449.21
  4. Step 4: Simplify right side
    11,530.86x = 146,148,087.61
  5. Step 5: Solve for x
    x = 146,148,087.61/11,530.86
  6. Step 6: Final answer
    x = 12,674.52

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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.