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Finding the Fourth Proportional to 21,076.87, 31,630.86 and 9,983.54

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Solution

The fourth proportional to 21,076.87, 31,630.86 and 9,983.54 is: 14,982.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,076.87 : 31,630.86 = 9,983.54 : x
  2. Step 2: Convert to fraction form
    21,076.87/31,630.86 = 9,983.54/x
  3. Step 3: Cross multiply
    21,076.87x = 31,630.86 × 9,983.54
  4. Step 4: Simplify right side
    21,076.87x = 315,787,956.04
  5. Step 5: Solve for x
    x = 315,787,956.04/21,076.87
  6. Step 6: Final answer
    x = 14,982.68

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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.