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Finding the Fourth Proportional to 16,467.36, 22,727.12 and 9,392.16

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Solution

The fourth proportional to 16,467.36, 22,727.12 and 9,392.16 is: 12,962.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,467.36 : 22,727.12 = 9,392.16 : x
  2. Step 2: Convert to fraction form
    16,467.36/22,727.12 = 9,392.16/x
  3. Step 3: Cross multiply
    16,467.36x = 22,727.12 × 9,392.16
  4. Step 4: Simplify right side
    16,467.36x = 213,456,747.38
  5. Step 5: Solve for x
    x = 213,456,747.38/16,467.36
  6. Step 6: Final answer
    x = 12,962.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.