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Finding the Fourth Proportional to 23,314.82, 32,174.80 and 12,704.44

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Solution

The fourth proportional to 23,314.82, 32,174.80 and 12,704.44 is: 17,532.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,314.82 : 32,174.80 = 12,704.44 : x
  2. Step 2: Convert to fraction form
    23,314.82/32,174.80 = 12,704.44/x
  3. Step 3: Cross multiply
    23,314.82x = 32,174.80 × 12,704.44
  4. Step 4: Simplify right side
    23,314.82x = 408,762,816.11
  5. Step 5: Solve for x
    x = 408,762,816.11/23,314.82
  6. Step 6: Final answer
    x = 17,532.32

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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.