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Finding the Fourth Proportional to 16,114.74, 24,171.73 and 9,493.23

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Solution

The fourth proportional to 16,114.74, 24,171.73 and 9,493.23 is: 14,239.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,114.74 : 24,171.73 = 9,493.23 : x
  2. Step 2: Convert to fraction form
    16,114.74/24,171.73 = 9,493.23/x
  3. Step 3: Cross multiply
    16,114.74x = 24,171.73 × 9,493.23
  4. Step 4: Simplify right side
    16,114.74x = 229,467,768.65
  5. Step 5: Solve for x
    x = 229,467,768.65/16,114.74
  6. Step 6: Final answer
    x = 14,239.62

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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.