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Finding the Fourth Proportional to 16,467.72, 24,709.04 and 6,982.64

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Solution

The fourth proportional to 16,467.72, 24,709.04 and 6,982.64 is: 10,477.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,467.72 : 24,709.04 = 6,982.64 : x
  2. Step 2: Convert to fraction form
    16,467.72/24,709.04 = 6,982.64/x
  3. Step 3: Cross multiply
    16,467.72x = 24,709.04 × 6,982.64
  4. Step 4: Simplify right side
    16,467.72x = 172,534,331.07
  5. Step 5: Solve for x
    x = 172,534,331.07/16,467.72
  6. Step 6: Final answer
    x = 10,477.12

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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.