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Finding the Fourth Proportional to 21,261.18, 31,891.77 and 7,222.68

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Solution

The fourth proportional to 21,261.18, 31,891.77 and 7,222.68 is: 10,834.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,261.18 : 31,891.77 = 7,222.68 : x
  2. Step 2: Convert to fraction form
    21,261.18/31,891.77 = 7,222.68/x
  3. Step 3: Cross multiply
    21,261.18x = 31,891.77 × 7,222.68
  4. Step 4: Simplify right side
    21,261.18x = 230,344,049.34
  5. Step 5: Solve for x
    x = 230,344,049.34/21,261.18
  6. Step 6: Final answer
    x = 10,834.02

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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.