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Finding the Fourth Proportional to 21,092.23, 31,638.92 and 9,239.91

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Solution

The fourth proportional to 21,092.23, 31,638.92 and 9,239.91 is: 13,860.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,092.23 : 31,638.92 = 9,239.91 : x
  2. Step 2: Convert to fraction form
    21,092.23/31,638.92 = 9,239.91/x
  3. Step 3: Cross multiply
    21,092.23x = 31,638.92 × 9,239.91
  4. Step 4: Simplify right side
    21,092.23x = 292,340,608.45
  5. Step 5: Solve for x
    x = 292,340,608.45/21,092.23
  6. Step 6: Final answer
    x = 13,860.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.