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Finding the Fourth Proportional to 16,204, 22,361.54 and 8,752

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Solution

The fourth proportional to 16,204, 22,361.54 and 8,752 is: 12,077.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,204 : 22,361.54 = 8,752 : x
  2. Step 2: Convert to fraction form
    16,204/22,361.54 = 8,752/x
  3. Step 3: Cross multiply
    16,204x = 22,361.54 × 8,752
  4. Step 4: Simplify right side
    16,204x = 195,708,154.32
  5. Step 5: Solve for x
    x = 195,708,154.32/16,204
  6. Step 6: Final answer
    x = 12,077.77

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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.