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Finding the Fourth Proportional to 16,462.44, 24,675.84 and 6,596.64

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Solution

The fourth proportional to 16,462.44, 24,675.84 and 6,596.64 is: 9,887.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,462.44 : 24,675.84 = 6,596.64 : x
  2. Step 2: Convert to fraction form
    16,462.44/24,675.84 = 6,596.64/x
  3. Step 3: Cross multiply
    16,462.44x = 24,675.84 × 6,596.64
  4. Step 4: Simplify right side
    16,462.44x = 162,777,633.18
  5. Step 5: Solve for x
    x = 162,777,633.18/16,462.44
  6. Step 6: Final answer
    x = 9,887.82

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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.