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Finding the Fourth Proportional to 12,489.12, 17,233.92 and 7,773.84

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Solution

The fourth proportional to 12,489.12, 17,233.92 and 7,773.84 is: 10,727.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,489.12 : 17,233.92 = 7,773.84 : x
  2. Step 2: Convert to fraction form
    12,489.12/17,233.92 = 7,773.84/x
  3. Step 3: Cross multiply
    12,489.12x = 17,233.92 × 7,773.84
  4. Step 4: Simplify right side
    12,489.12x = 133,973,736.65
  5. Step 5: Solve for x
    x = 133,973,736.65/12,489.12
  6. Step 6: Final answer
    x = 10,727.24

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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.