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Finding the Fourth Proportional to 16,457.98, 24,682.26 and 5,365.64

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Solution

The fourth proportional to 16,457.98, 24,682.26 and 5,365.64 is: 8,046.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,457.98 : 24,682.26 = 5,365.64 : x
  2. Step 2: Convert to fraction form
    16,457.98/24,682.26 = 5,365.64/x
  3. Step 3: Cross multiply
    16,457.98x = 24,682.26 × 5,365.64
  4. Step 4: Simplify right side
    16,457.98x = 132,436,121.55
  5. Step 5: Solve for x
    x = 132,436,121.55/16,457.98
  6. Step 6: Final answer
    x = 8,046.92

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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.