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Finding the Fourth Proportional to 19,682.64, 29,527.56 and 11,882.16

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Solution

The fourth proportional to 19,682.64, 29,527.56 and 11,882.16 is: 17,825.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,682.64 : 29,527.56 = 11,882.16 : x
  2. Step 2: Convert to fraction form
    19,682.64/29,527.56 = 11,882.16/x
  3. Step 3: Cross multiply
    19,682.64x = 29,527.56 × 11,882.16
  4. Step 4: Simplify right side
    19,682.64x = 350,851,192.33
  5. Step 5: Solve for x
    x = 350,851,192.33/19,682.64
  6. Step 6: Final answer
    x = 17,825.41

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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.