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Finding the Fourth Proportional to 16,236.30, 24,354.19 and 5,142.97

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Solution

The fourth proportional to 16,236.30, 24,354.19 and 5,142.97 is: 7,714.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,236.30 : 24,354.19 = 5,142.97 : x
  2. Step 2: Convert to fraction form
    16,236.30/24,354.19 = 5,142.97/x
  3. Step 3: Cross multiply
    16,236.30x = 24,354.19 × 5,142.97
  4. Step 4: Simplify right side
    16,236.30x = 125,252,868.54
  5. Step 5: Solve for x
    x = 125,252,868.54/16,236.30
  6. Step 6: Final answer
    x = 7,714.37

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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.