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Finding the Fourth Proportional to 23,053.61, 31,813.67 and 12,982.18

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Solution

The fourth proportional to 23,053.61, 31,813.67 and 12,982.18 is: 17,915.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,053.61 : 31,813.67 = 12,982.18 : x
  2. Step 2: Convert to fraction form
    23,053.61/31,813.67 = 12,982.18/x
  3. Step 3: Cross multiply
    23,053.61x = 31,813.67 × 12,982.18
  4. Step 4: Simplify right side
    23,053.61x = 413,010,631.33
  5. Step 5: Solve for x
    x = 413,010,631.33/23,053.61
  6. Step 6: Final answer
    x = 17,915.23

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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.