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Finding the Fourth Proportional to 15,676.33, 23,522.55 and 10,414.97

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Solution

The fourth proportional to 15,676.33, 23,522.55 and 10,414.97 is: 15,627.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,676.33 : 23,522.55 = 10,414.97 : x
  2. Step 2: Convert to fraction form
    15,676.33/23,522.55 = 10,414.97/x
  3. Step 3: Cross multiply
    15,676.33x = 23,522.55 × 10,414.97
  4. Step 4: Simplify right side
    15,676.33x = 244,986,652.57
  5. Step 5: Solve for x
    x = 244,986,652.57/15,676.33
  6. Step 6: Final answer
    x = 15,627.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.