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Finding the Fourth Proportional to 12,782.31, 17,632.53 and 11,952.33

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Solution

The fourth proportional to 12,782.31, 17,632.53 and 11,952.33 is: 16,487.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782.31 : 17,632.53 = 11,952.33 : x
  2. Step 2: Convert to fraction form
    12,782.31/17,632.53 = 11,952.33/x
  3. Step 3: Cross multiply
    12,782.31x = 17,632.53 × 11,952.33
  4. Step 4: Simplify right side
    12,782.31x = 210,749,817.29
  5. Step 5: Solve for x
    x = 210,749,817.29/12,782.31
  6. Step 6: Final answer
    x = 16,487.62

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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.