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Finding the Fourth Proportional to 22,812.25, 31,480.92 and 12,876.25

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Solution

The fourth proportional to 22,812.25, 31,480.92 and 12,876.25 is: 17,769.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,812.25 : 31,480.92 = 12,876.25 : x
  2. Step 2: Convert to fraction form
    22,812.25/31,480.92 = 12,876.25/x
  3. Step 3: Cross multiply
    22,812.25x = 31,480.92 × 12,876.25
  4. Step 4: Simplify right side
    22,812.25x = 405,356,196.15
  5. Step 5: Solve for x
    x = 405,356,196.15/22,812.25
  6. Step 6: Final answer
    x = 17,769.23

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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.