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Finding the Fourth Proportional to 21,236.64, 31,815 and 12,445.44

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Solution

The fourth proportional to 21,236.64, 31,815 and 12,445.44 is: 18,644.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,236.64 : 31,815 = 12,445.44 : x
  2. Step 2: Convert to fraction form
    21,236.64/31,815 = 12,445.44/x
  3. Step 3: Cross multiply
    21,236.64x = 31,815 × 12,445.44
  4. Step 4: Simplify right side
    21,236.64x = 395,951,673.60
  5. Step 5: Solve for x
    x = 395,951,673.60/21,236.64
  6. Step 6: Final answer
    x = 18,644.74

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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.