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Finding the Fourth Proportional to 16,026.44, 24,043.16 and 6,170.36

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Solution

The fourth proportional to 16,026.44, 24,043.16 and 6,170.36 is: 9,256.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,026.44 : 24,043.16 = 6,170.36 : x
  2. Step 2: Convert to fraction form
    16,026.44/24,043.16 = 6,170.36/x
  3. Step 3: Cross multiply
    16,026.44x = 24,043.16 × 6,170.36
  4. Step 4: Simplify right side
    16,026.44x = 148,354,847.95
  5. Step 5: Solve for x
    x = 148,354,847.95/16,026.44
  6. Step 6: Final answer
    x = 9,256.88

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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.