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Finding the Fourth Proportional to 16,714.50, 23,052.73 and 14,204.92

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Solution

The fourth proportional to 16,714.50, 23,052.73 and 14,204.92 is: 19,591.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,714.50 : 23,052.73 = 14,204.92 : x
  2. Step 2: Convert to fraction form
    16,714.50/23,052.73 = 14,204.92/x
  3. Step 3: Cross multiply
    16,714.50x = 23,052.73 × 14,204.92
  4. Step 4: Simplify right side
    16,714.50x = 327,462,122.19
  5. Step 5: Solve for x
    x = 327,462,122.19/16,714.50
  6. Step 6: Final answer
    x = 19,591.50

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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.