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Finding the Fourth Proportional to 16,704, 23,052.24 and 9,252

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Solution

The fourth proportional to 16,704, 23,052.24 and 9,252 is: 12,768.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,704 : 23,052.24 = 9,252 : x
  2. Step 2: Convert to fraction form
    16,704/23,052.24 = 9,252/x
  3. Step 3: Cross multiply
    16,704x = 23,052.24 × 9,252
  4. Step 4: Simplify right side
    16,704x = 213,279,324.48
  5. Step 5: Solve for x
    x = 213,279,324.48/16,704
  6. Step 6: Final answer
    x = 12,768.16

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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.