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Finding the Fourth Proportional to 23,704.14, 32,687.16 and 20,358.02

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Solution

The fourth proportional to 23,704.14, 32,687.16 and 20,358.02 is: 28,072.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,704.14 : 32,687.16 = 20,358.02 : x
  2. Step 2: Convert to fraction form
    23,704.14/32,687.16 = 20,358.02/x
  3. Step 3: Cross multiply
    23,704.14x = 32,687.16 × 20,358.02
  4. Step 4: Simplify right side
    23,704.14x = 665,445,857.02
  5. Step 5: Solve for x
    x = 665,445,857.02/23,704.14
  6. Step 6: Final answer
    x = 28,072.98

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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.