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Finding the Fourth Proportional to 21,090.97, 31,615.80 and 11,735.47

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Solution

The fourth proportional to 21,090.97, 31,615.80 and 11,735.47 is: 17,591.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,090.97 : 31,615.80 = 11,735.47 : x
  2. Step 2: Convert to fraction form
    21,090.97/31,615.80 = 11,735.47/x
  3. Step 3: Cross multiply
    21,090.97x = 31,615.80 × 11,735.47
  4. Step 4: Simplify right side
    21,090.97x = 371,026,272.43
  5. Step 5: Solve for x
    x = 371,026,272.43/21,090.97
  6. Step 6: Final answer
    x = 17,591.71

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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.