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Finding the Fourth Proportional to 23,704.62, 32,712.18 and 13,094.16

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Solution

The fourth proportional to 23,704.62, 32,712.18 and 13,094.16 is: 18,069.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,704.62 : 32,712.18 = 13,094.16 : x
  2. Step 2: Convert to fraction form
    23,704.62/32,712.18 = 13,094.16/x
  3. Step 3: Cross multiply
    23,704.62x = 32,712.18 × 13,094.16
  4. Step 4: Simplify right side
    23,704.62x = 428,338,518.87
  5. Step 5: Solve for x
    x = 428,338,518.87/23,704.62
  6. Step 6: Final answer
    x = 18,069.83

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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.