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Finding the Fourth Proportional to 22,949.38, 31,667.11 and 12,877.44

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Solution

The fourth proportional to 22,949.38, 31,667.11 and 12,877.44 is: 17,769.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,949.38 : 31,667.11 = 12,877.44 : x
  2. Step 2: Convert to fraction form
    22,949.38/31,667.11 = 12,877.44/x
  3. Step 3: Cross multiply
    22,949.38x = 31,667.11 × 12,877.44
  4. Step 4: Simplify right side
    22,949.38x = 407,791,309.00
  5. Step 5: Solve for x
    x = 407,791,309.00/22,949.38
  6. Step 6: Final answer
    x = 17,769.16

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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.