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Finding the Fourth Proportional to 22,640.80, 31,239.12 and 13,203.76

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Solution

The fourth proportional to 22,640.80, 31,239.12 and 13,203.76 is: 18,218.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,640.80 : 31,239.12 = 13,203.76 : x
  2. Step 2: Convert to fraction form
    22,640.80/31,239.12 = 13,203.76/x
  3. Step 3: Cross multiply
    22,640.80x = 31,239.12 × 13,203.76
  4. Step 4: Simplify right side
    22,640.80x = 412,473,843.09
  5. Step 5: Solve for x
    x = 412,473,843.09/22,640.80
  6. Step 6: Final answer
    x = 18,218.17

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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.