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Finding the Fourth Proportional to 20,893.92, 31,340.97 and 9,792.51

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Solution

The fourth proportional to 20,893.92, 31,340.97 and 9,792.51 is: 14,688.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,893.92 : 31,340.97 = 9,792.51 : x
  2. Step 2: Convert to fraction form
    20,893.92/31,340.97 = 9,792.51/x
  3. Step 3: Cross multiply
    20,893.92x = 31,340.97 × 9,792.51
  4. Step 4: Simplify right side
    20,893.92x = 306,906,762.13
  5. Step 5: Solve for x
    x = 306,906,762.13/20,893.92
  6. Step 6: Final answer
    x = 14,688.81

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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.