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Finding the Fourth Proportional to 16,714.92, 23,053.30 and 14,205.34

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Solution

The fourth proportional to 16,714.92, 23,053.30 and 14,205.34 is: 19,592.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,714.92 : 23,053.30 = 14,205.34 : x
  2. Step 2: Convert to fraction form
    16,714.92/23,053.30 = 14,205.34/x
  3. Step 3: Cross multiply
    16,714.92x = 23,053.30 × 14,205.34
  4. Step 4: Simplify right side
    16,714.92x = 327,479,964.62
  5. Step 5: Solve for x
    x = 327,479,964.62/16,714.92
  6. Step 6: Final answer
    x = 19,592.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.