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Finding the Fourth Proportional to 23,053.92, 31,814.04 and 12,982.33

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Solution

The fourth proportional to 23,053.92, 31,814.04 and 12,982.33 is: 17,915.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,053.92 : 31,814.04 = 12,982.33 : x
  2. Step 2: Convert to fraction form
    23,053.92/31,814.04 = 12,982.33/x
  3. Step 3: Cross multiply
    23,053.92x = 31,814.04 × 12,982.33
  4. Step 4: Simplify right side
    23,053.92x = 413,020,365.91
  5. Step 5: Solve for x
    x = 413,020,365.91/23,053.92
  6. Step 6: Final answer
    x = 17,915.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.