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Finding the Fourth Proportional to 20,940.51, 31,412.29 and 7,792.88

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Solution

The fourth proportional to 20,940.51, 31,412.29 and 7,792.88 is: 11,689.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,940.51 : 31,412.29 = 7,792.88 : x
  2. Step 2: Convert to fraction form
    20,940.51/31,412.29 = 7,792.88/x
  3. Step 3: Cross multiply
    20,940.51x = 31,412.29 × 7,792.88
  4. Step 4: Simplify right side
    20,940.51x = 244,792,044.56
  5. Step 5: Solve for x
    x = 244,792,044.56/20,940.51
  6. Step 6: Final answer
    x = 11,689.88

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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.