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Finding the Fourth Proportional to 22,894.52, 31,609.86 and 14,293.81

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Solution

The fourth proportional to 22,894.52, 31,609.86 and 14,293.81 is: 19,735.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,894.52 : 31,609.86 = 14,293.81 : x
  2. Step 2: Convert to fraction form
    22,894.52/31,609.86 = 14,293.81/x
  3. Step 3: Cross multiply
    22,894.52x = 31,609.86 × 14,293.81
  4. Step 4: Simplify right side
    22,894.52x = 451,825,310.38
  5. Step 5: Solve for x
    x = 451,825,310.38/22,894.52
  6. Step 6: Final answer
    x = 19,735.09

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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.