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Finding the Fourth Proportional to 22,942.65, 31,662.12 and 12,874.29

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Solution

The fourth proportional to 22,942.65, 31,662.12 and 12,874.29 is: 17,767.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,942.65 : 31,662.12 = 12,874.29 : x
  2. Step 2: Convert to fraction form
    22,942.65/31,662.12 = 12,874.29/x
  3. Step 3: Cross multiply
    22,942.65x = 31,662.12 × 12,874.29
  4. Step 4: Simplify right side
    22,942.65x = 407,627,314.89
  5. Step 5: Solve for x
    x = 407,627,314.89/22,942.65
  6. Step 6: Final answer
    x = 17,767.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.