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Finding the Fourth Proportional to 19,716.26, 29,575.80 and 6,206.27

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Solution

The fourth proportional to 19,716.26, 29,575.80 and 6,206.27 is: 9,309.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,716.26 : 29,575.80 = 6,206.27 : x
  2. Step 2: Convert to fraction form
    19,716.26/29,575.80 = 6,206.27/x
  3. Step 3: Cross multiply
    19,716.26x = 29,575.80 × 6,206.27
  4. Step 4: Simplify right side
    19,716.26x = 183,555,252.39
  5. Step 5: Solve for x
    x = 183,555,252.39/19,716.26
  6. Step 6: Final answer
    x = 9,309.84

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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.