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Finding the Fourth Proportional to 16,524, 22,803.60 and 9,072.48

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Solution

The fourth proportional to 16,524, 22,803.60 and 9,072.48 is: 12,520.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,524 : 22,803.60 = 9,072.48 : x
  2. Step 2: Convert to fraction form
    16,524/22,803.60 = 9,072.48/x
  3. Step 3: Cross multiply
    16,524x = 22,803.60 × 9,072.48
  4. Step 4: Simplify right side
    16,524x = 206,885,204.93
  5. Step 5: Solve for x
    x = 206,885,204.93/16,524
  6. Step 6: Final answer
    x = 12,520.29

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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.