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Finding the Fourth Proportional to 22,991.72, 31,732 and 14,044.37

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Solution

The fourth proportional to 22,991.72, 31,732 and 14,044.37 is: 19,383.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,991.72 : 31,732 = 14,044.37 : x
  2. Step 2: Convert to fraction form
    22,991.72/31,732 = 14,044.37/x
  3. Step 3: Cross multiply
    22,991.72x = 31,732 × 14,044.37
  4. Step 4: Simplify right side
    22,991.72x = 445,655,948.84
  5. Step 5: Solve for x
    x = 445,655,948.84/22,991.72
  6. Step 6: Final answer
    x = 19,383.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.