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Finding the Fourth Proportional to 16,284, 22,471.92 and 10,704.96

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Solution

The fourth proportional to 16,284, 22,471.92 and 10,704.96 is: 14,772.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,284 : 22,471.92 = 10,704.96 : x
  2. Step 2: Convert to fraction form
    16,284/22,471.92 = 10,704.96/x
  3. Step 3: Cross multiply
    16,284x = 22,471.92 × 10,704.96
  4. Step 4: Simplify right side
    16,284x = 240,561,004.72
  5. Step 5: Solve for x
    x = 240,561,004.72/16,284
  6. Step 6: Final answer
    x = 14,772.84

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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.