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Finding the Fourth Proportional to 21,071.75, 31,608.83 and 7,924.23

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Solution

The fourth proportional to 21,071.75, 31,608.83 and 7,924.23 is: 11,886.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,071.75 : 31,608.83 = 7,924.23 : x
  2. Step 2: Convert to fraction form
    21,071.75/31,608.83 = 7,924.23/x
  3. Step 3: Cross multiply
    21,071.75x = 31,608.83 × 7,924.23
  4. Step 4: Simplify right side
    21,071.75x = 250,475,599.33
  5. Step 5: Solve for x
    x = 250,475,599.33/21,071.75
  6. Step 6: Final answer
    x = 11,886.80

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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.