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Finding the Fourth Proportional to 22,580.34, 31,160.79 and 12,644.34

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Solution

The fourth proportional to 22,580.34, 31,160.79 and 12,644.34 is: 17,449.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,580.34 : 31,160.79 = 12,644.34 : x
  2. Step 2: Convert to fraction form
    22,580.34/31,160.79 = 12,644.34/x
  3. Step 3: Cross multiply
    22,580.34x = 31,160.79 × 12,644.34
  4. Step 4: Simplify right side
    22,580.34x = 394,007,623.43
  5. Step 5: Solve for x
    x = 394,007,623.43/22,580.34
  6. Step 6: Final answer
    x = 17,449.14

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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.