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Finding the Fourth Proportional to 22,940.51, 31,667.61 and 13,991.22

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Solution

The fourth proportional to 22,940.51, 31,667.61 and 13,991.22 is: 19,313.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,940.51 : 31,667.61 = 13,991.22 : x
  2. Step 2: Convert to fraction form
    22,940.51/31,667.61 = 13,991.22/x
  3. Step 3: Cross multiply
    22,940.51x = 31,667.61 × 13,991.22
  4. Step 4: Simplify right side
    22,940.51x = 443,068,498.38
  5. Step 5: Solve for x
    x = 443,068,498.38/22,940.51
  6. Step 6: Final answer
    x = 19,313.81

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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.