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Finding the Fourth Proportional to 23,147.64, 32,078.09 and 22,704.57

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Solution

The fourth proportional to 23,147.64, 32,078.09 and 22,704.57 is: 31,464.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,147.64 : 32,078.09 = 22,704.57 : x
  2. Step 2: Convert to fraction form
    23,147.64/32,078.09 = 22,704.57/x
  3. Step 3: Cross multiply
    23,147.64x = 32,078.09 × 22,704.57
  4. Step 4: Simplify right side
    23,147.64x = 728,319,296.63
  5. Step 5: Solve for x
    x = 728,319,296.63/23,147.64
  6. Step 6: Final answer
    x = 31,464.08

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.