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Finding the Fourth Proportional to 21,221.54, 31,846.14 and 8,074.03

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Solution

The fourth proportional to 21,221.54, 31,846.14 and 8,074.03 is: 12,116.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,221.54 : 31,846.14 = 8,074.03 : x
  2. Step 2: Convert to fraction form
    21,221.54/31,846.14 = 8,074.03/x
  3. Step 3: Cross multiply
    21,221.54x = 31,846.14 × 8,074.03
  4. Step 4: Simplify right side
    21,221.54x = 257,126,647.13
  5. Step 5: Solve for x
    x = 257,126,647.13/21,221.54
  6. Step 6: Final answer
    x = 12,116.30

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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.