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Finding the Fourth Proportional to 16,509.33, 24,768 and 9,493.83

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Solution

The fourth proportional to 16,509.33, 24,768 and 9,493.83 is: 14,243.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,509.33 : 24,768 = 9,493.83 : x
  2. Step 2: Convert to fraction form
    16,509.33/24,768 = 9,493.83/x
  3. Step 3: Cross multiply
    16,509.33x = 24,768 × 9,493.83
  4. Step 4: Simplify right side
    16,509.33x = 235,143,181.44
  5. Step 5: Solve for x
    x = 235,143,181.44/16,509.33
  6. Step 6: Final answer
    x = 14,243.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.