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Finding the Fourth Proportional to 22,265.36, 30,747.02 and 14,321.38

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Solution

The fourth proportional to 22,265.36, 30,747.02 and 14,321.38 is: 19,776.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,265.36 : 30,747.02 = 14,321.38 : x
  2. Step 2: Convert to fraction form
    22,265.36/30,747.02 = 14,321.38/x
  3. Step 3: Cross multiply
    22,265.36x = 30,747.02 × 14,321.38
  4. Step 4: Simplify right side
    22,265.36x = 440,339,608.81
  5. Step 5: Solve for x
    x = 440,339,608.81/22,265.36
  6. Step 6: Final answer
    x = 19,776.89

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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.