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Finding the Fourth Proportional to 23,452.67, 32,364.59 and 12,842.21

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Solution

The fourth proportional to 23,452.67, 32,364.59 and 12,842.21 is: 17,722.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,452.67 : 32,364.59 = 12,842.21 : x
  2. Step 2: Convert to fraction form
    23,452.67/32,364.59 = 12,842.21/x
  3. Step 3: Cross multiply
    23,452.67x = 32,364.59 × 12,842.21
  4. Step 4: Simplify right side
    23,452.67x = 415,632,635.31
  5. Step 5: Solve for x
    x = 415,632,635.31/23,452.67
  6. Step 6: Final answer
    x = 17,722.19

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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.