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Finding the Fourth Proportional to 23,314.58, 32,174.48 and 12,704.20

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Solution

The fourth proportional to 23,314.58, 32,174.48 and 12,704.20 is: 17,531.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,314.58 : 32,174.48 = 12,704.20 : x
  2. Step 2: Convert to fraction form
    23,314.58/32,174.48 = 12,704.20/x
  3. Step 3: Cross multiply
    23,314.58x = 32,174.48 × 12,704.20
  4. Step 4: Simplify right side
    23,314.58x = 408,751,028.82
  5. Step 5: Solve for x
    x = 408,751,028.82/23,314.58
  6. Step 6: Final answer
    x = 17,531.99

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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.