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Finding the Fourth Proportional to 22,630.68, 31,223.34 and 13,192.56

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Solution

The fourth proportional to 22,630.68, 31,223.34 and 13,192.56 is: 18,201.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,630.68 : 31,223.34 = 13,192.56 : x
  2. Step 2: Convert to fraction form
    22,630.68/31,223.34 = 13,192.56/x
  3. Step 3: Cross multiply
    22,630.68x = 31,223.34 × 13,192.56
  4. Step 4: Simplify right side
    22,630.68x = 411,915,786.35
  5. Step 5: Solve for x
    x = 411,915,786.35/22,630.68
  6. Step 6: Final answer
    x = 18,201.65

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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.