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Finding the Fourth Proportional to 12,914.88, 17,823.12 and 7,609.92

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Solution

The fourth proportional to 12,914.88, 17,823.12 and 7,609.92 is: 10,502.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,914.88 : 17,823.12 = 7,609.92 : x
  2. Step 2: Convert to fraction form
    12,914.88/17,823.12 = 7,609.92/x
  3. Step 3: Cross multiply
    12,914.88x = 17,823.12 × 7,609.92
  4. Step 4: Simplify right side
    12,914.88x = 135,632,517.35
  5. Step 5: Solve for x
    x = 135,632,517.35/12,914.88
  6. Step 6: Final answer
    x = 10,502.03

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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.