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Finding the Fourth Proportional to 22,937.25, 31,653.46 and 13,383.71

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Solution

The fourth proportional to 22,937.25, 31,653.46 and 13,383.71 is: 18,469.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,937.25 : 31,653.46 = 13,383.71 : x
  2. Step 2: Convert to fraction form
    22,937.25/31,653.46 = 13,383.71/x
  3. Step 3: Cross multiply
    22,937.25x = 31,653.46 × 13,383.71
  4. Step 4: Simplify right side
    22,937.25x = 423,640,579.63
  5. Step 5: Solve for x
    x = 423,640,579.63/22,937.25
  6. Step 6: Final answer
    x = 18,469.54

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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.