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Finding the Fourth Proportional to 20,883.72, 31,324.16 and 9,792.84

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Solution

The fourth proportional to 20,883.72, 31,324.16 and 9,792.84 is: 14,688.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,883.72 : 31,324.16 = 9,792.84 : x
  2. Step 2: Convert to fraction form
    20,883.72/31,324.16 = 9,792.84/x
  3. Step 3: Cross multiply
    20,883.72x = 31,324.16 × 9,792.84
  4. Step 4: Simplify right side
    20,883.72x = 306,752,487.01
  5. Step 5: Solve for x
    x = 306,752,487.01/20,883.72
  6. Step 6: Final answer
    x = 14,688.59

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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.