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Finding the Fourth Proportional to 23,342.90, 32,213.16 and 12,732.54

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Solution

The fourth proportional to 23,342.90, 32,213.16 and 12,732.54 is: 17,570.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,342.90 : 32,213.16 = 12,732.54 : x
  2. Step 2: Convert to fraction form
    23,342.90/32,213.16 = 12,732.54/x
  3. Step 3: Cross multiply
    23,342.90x = 32,213.16 × 12,732.54
  4. Step 4: Simplify right side
    23,342.90x = 410,155,348.23
  5. Step 5: Solve for x
    x = 410,155,348.23/23,342.90
  6. Step 6: Final answer
    x = 17,570.88

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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.