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Finding the Fourth Proportional to 21,150.25, 31,721.93 and 7,999.49

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Solution

The fourth proportional to 21,150.25, 31,721.93 and 7,999.49 is: 11,997.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,150.25 : 31,721.93 = 7,999.49 : x
  2. Step 2: Convert to fraction form
    21,150.25/31,721.93 = 7,999.49/x
  3. Step 3: Cross multiply
    21,150.25x = 31,721.93 × 7,999.49
  4. Step 4: Simplify right side
    21,150.25x = 253,759,221.82
  5. Step 5: Solve for x
    x = 253,759,221.82/21,150.25
  6. Step 6: Final answer
    x = 11,997.93

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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.