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Finding the Fourth Proportional to 21,205.64, 31,814.62 and 8,548.87

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Solution

The fourth proportional to 21,205.64, 31,814.62 and 8,548.87 is: 12,825.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,205.64 : 31,814.62 = 8,548.87 : x
  2. Step 2: Convert to fraction form
    21,205.64/31,814.62 = 8,548.87/x
  3. Step 3: Cross multiply
    21,205.64x = 31,814.62 × 8,548.87
  4. Step 4: Simplify right side
    21,205.64x = 271,978,949.57
  5. Step 5: Solve for x
    x = 271,978,949.57/21,205.64
  6. Step 6: Final answer
    x = 12,825.78

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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.