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Finding the Fourth Proportional to 16,714.42, 23,052.61 and 14,204.84

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Solution

The fourth proportional to 16,714.42, 23,052.61 and 14,204.84 is: 19,591.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,714.42 : 23,052.61 = 14,204.84 : x
  2. Step 2: Convert to fraction form
    16,714.42/23,052.61 = 14,204.84/x
  3. Step 3: Cross multiply
    16,714.42x = 23,052.61 × 14,204.84
  4. Step 4: Simplify right side
    16,714.42x = 327,458,521.37
  5. Step 5: Solve for x
    x = 327,458,521.37/16,714.42
  6. Step 6: Final answer
    x = 19,591.38

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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.