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Finding the Fourth Proportional to 16,468, 22,717.74 and 11,164.48

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Solution

The fourth proportional to 16,468, 22,717.74 and 11,164.48 is: 15,401.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,468 : 22,717.74 = 11,164.48 : x
  2. Step 2: Convert to fraction form
    16,468/22,717.74 = 11,164.48/x
  3. Step 3: Cross multiply
    16,468x = 22,717.74 × 11,164.48
  4. Step 4: Simplify right side
    16,468x = 253,631,753.88
  5. Step 5: Solve for x
    x = 253,631,753.88/16,468
  6. Step 6: Final answer
    x = 15,401.49

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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.