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Finding the Fourth Proportional to 16,224.44, 22,391.38 and 10,179

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Solution

The fourth proportional to 16,224.44, 22,391.38 and 10,179 is: 14,048.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,224.44 : 22,391.38 = 10,179 : x
  2. Step 2: Convert to fraction form
    16,224.44/22,391.38 = 10,179/x
  3. Step 3: Cross multiply
    16,224.44x = 22,391.38 × 10,179
  4. Step 4: Simplify right side
    16,224.44x = 227,921,857.02
  5. Step 5: Solve for x
    x = 227,921,857.02/16,224.44
  6. Step 6: Final answer
    x = 14,048.06

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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.