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Finding the Fourth Proportional to 21,222.40, 31,841.79 and 6,431.44

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Solution

The fourth proportional to 21,222.40, 31,841.79 and 6,431.44 is: 9,649.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,222.40 : 31,841.79 = 6,431.44 : x
  2. Step 2: Convert to fraction form
    21,222.40/31,841.79 = 6,431.44/x
  3. Step 3: Cross multiply
    21,222.40x = 31,841.79 × 6,431.44
  4. Step 4: Simplify right side
    21,222.40x = 204,788,561.88
  5. Step 5: Solve for x
    x = 204,788,561.88/21,222.40
  6. Step 6: Final answer
    x = 9,649.64

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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.