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Finding the Fourth Proportional to 23,851.22, 32,915.76 and 13,241

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Solution

The fourth proportional to 23,851.22, 32,915.76 and 13,241 is: 18,273.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,851.22 : 32,915.76 = 13,241 : x
  2. Step 2: Convert to fraction form
    23,851.22/32,915.76 = 13,241/x
  3. Step 3: Cross multiply
    23,851.22x = 32,915.76 × 13,241
  4. Step 4: Simplify right side
    23,851.22x = 435,837,578.16
  5. Step 5: Solve for x
    x = 435,837,578.16/23,851.22
  6. Step 6: Final answer
    x = 18,273.18

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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.