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Finding the Fourth Proportional to 16,458.12, 24,687.64 and 6,462.44

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Solution

The fourth proportional to 16,458.12, 24,687.64 and 6,462.44 is: 9,693.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,458.12 : 24,687.64 = 6,462.44 : x
  2. Step 2: Convert to fraction form
    16,458.12/24,687.64 = 6,462.44/x
  3. Step 3: Cross multiply
    16,458.12x = 24,687.64 × 6,462.44
  4. Step 4: Simplify right side
    16,458.12x = 159,542,392.24
  5. Step 5: Solve for x
    x = 159,542,392.24/16,458.12
  6. Step 6: Final answer
    x = 9,693.84

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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.