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Finding the Fourth Proportional to 23,314.21, 32,173.84 and 12,704.02

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Solution

The fourth proportional to 23,314.21, 32,173.84 and 12,704.02 is: 17,531.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,314.21 : 32,173.84 = 12,704.02 : x
  2. Step 2: Convert to fraction form
    23,314.21/32,173.84 = 12,704.02/x
  3. Step 3: Cross multiply
    23,314.21x = 32,173.84 × 12,704.02
  4. Step 4: Simplify right side
    23,314.21x = 408,737,042.28
  5. Step 5: Solve for x
    x = 408,737,042.28/23,314.21
  6. Step 6: Final answer
    x = 17,531.67

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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.