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Finding the Fourth Proportional to 16,832.16, 23,226 and 9,564

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Solution

The fourth proportional to 16,832.16, 23,226 and 9,564 is: 13,196.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,832.16 : 23,226 = 9,564 : x
  2. Step 2: Convert to fraction form
    16,832.16/23,226 = 9,564/x
  3. Step 3: Cross multiply
    16,832.16x = 23,226 × 9,564
  4. Step 4: Simplify right side
    16,832.16x = 222,133,464
  5. Step 5: Solve for x
    x = 222,133,464/16,832.16
  6. Step 6: Final answer
    x = 13,196.97

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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.