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Finding the Fourth Proportional to 22,640.97, 31,248.26 and 13,209.51

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Solution

The fourth proportional to 22,640.97, 31,248.26 and 13,209.51 is: 18,231.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,640.97 : 31,248.26 = 13,209.51 : x
  2. Step 2: Convert to fraction form
    22,640.97/31,248.26 = 13,209.51/x
  3. Step 3: Cross multiply
    22,640.97x = 31,248.26 × 13,209.51
  4. Step 4: Simplify right side
    22,640.97x = 412,773,980.66
  5. Step 5: Solve for x
    x = 412,773,980.66/22,640.97
  6. Step 6: Final answer
    x = 18,231.29

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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.