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Finding the Fourth Proportional to 21,231.81, 31,848.78 and 8,085.21

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Solution

The fourth proportional to 21,231.81, 31,848.78 and 8,085.21 is: 12,128.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,231.81 : 31,848.78 = 8,085.21 : x
  2. Step 2: Convert to fraction form
    21,231.81/31,848.78 = 8,085.21/x
  3. Step 3: Cross multiply
    21,231.81x = 31,848.78 × 8,085.21
  4. Step 4: Simplify right side
    21,231.81x = 257,504,104.86
  5. Step 5: Solve for x
    x = 257,504,104.86/21,231.81
  6. Step 6: Final answer
    x = 12,128.22

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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.