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Finding the Fourth Proportional to 22,558.73, 31,128.30 and 13,001.71

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Solution

The fourth proportional to 22,558.73, 31,128.30 and 13,001.71 is: 17,940.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,558.73 : 31,128.30 = 13,001.71 : x
  2. Step 2: Convert to fraction form
    22,558.73/31,128.30 = 13,001.71/x
  3. Step 3: Cross multiply
    22,558.73x = 31,128.30 × 13,001.71
  4. Step 4: Simplify right side
    22,558.73x = 404,721,064.38
  5. Step 5: Solve for x
    x = 404,721,064.38/22,558.73
  6. Step 6: Final answer
    x = 17,940.77

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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.