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Finding the Fourth Proportional to 23,074.72, 31,843.11 and 12,464.35

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Solution

The fourth proportional to 23,074.72, 31,843.11 and 12,464.35 is: 17,200.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,074.72 : 31,843.11 = 12,464.35 : x
  2. Step 2: Convert to fraction form
    23,074.72/31,843.11 = 12,464.35/x
  3. Step 3: Cross multiply
    23,074.72x = 31,843.11 × 12,464.35
  4. Step 4: Simplify right side
    23,074.72x = 396,903,668.13
  5. Step 5: Solve for x
    x = 396,903,668.13/23,074.72
  6. Step 6: Final answer
    x = 17,200.80

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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.