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Finding the Fourth Proportional to 19,682.88, 29,527.84 and 6,536.08

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Solution

The fourth proportional to 19,682.88, 29,527.84 and 6,536.08 is: 9,805.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,682.88 : 29,527.84 = 6,536.08 : x
  2. Step 2: Convert to fraction form
    19,682.88/29,527.84 = 6,536.08/x
  3. Step 3: Cross multiply
    19,682.88x = 29,527.84 × 6,536.08
  4. Step 4: Simplify right side
    19,682.88x = 192,996,324.47
  5. Step 5: Solve for x
    x = 192,996,324.47/19,682.88
  6. Step 6: Final answer
    x = 9,805.29

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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.