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Finding the Fourth Proportional to 16,651.37, 24,973.85 and 7,764.26

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Solution

The fourth proportional to 16,651.37, 24,973.85 and 7,764.26 is: 11,644.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,651.37 : 24,973.85 = 7,764.26 : x
  2. Step 2: Convert to fraction form
    16,651.37/24,973.85 = 7,764.26/x
  3. Step 3: Cross multiply
    16,651.37x = 24,973.85 × 7,764.26
  4. Step 4: Simplify right side
    16,651.37x = 193,903,359.14
  5. Step 5: Solve for x
    x = 193,903,359.14/16,651.37
  6. Step 6: Final answer
    x = 11,644.89

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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.