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Finding the Fourth Proportional to 19,708.20, 29,562.36 and 8,018.64

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Solution

The fourth proportional to 19,708.20, 29,562.36 and 8,018.64 is: 12,027.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,708.20 : 29,562.36 = 8,018.64 : x
  2. Step 2: Convert to fraction form
    19,708.20/29,562.36 = 8,018.64/x
  3. Step 3: Cross multiply
    19,708.20x = 29,562.36 × 8,018.64
  4. Step 4: Simplify right side
    19,708.20x = 237,049,922.39
  5. Step 5: Solve for x
    x = 237,049,922.39/19,708.20
  6. Step 6: Final answer
    x = 12,027.98

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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.