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Finding the Fourth Proportional to 19,708.44, 29,565.54 and 8,022.36

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Solution

The fourth proportional to 19,708.44, 29,565.54 and 8,022.36 is: 12,034.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,708.44 : 29,565.54 = 8,022.36 : x
  2. Step 2: Convert to fraction form
    19,708.44/29,565.54 = 8,022.36/x
  3. Step 3: Cross multiply
    19,708.44x = 29,565.54 × 8,022.36
  4. Step 4: Simplify right side
    19,708.44x = 237,185,405.47
  5. Step 5: Solve for x
    x = 237,185,405.47/19,708.44
  6. Step 6: Final answer
    x = 12,034.71

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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.