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Finding the Fourth Proportional to 21,000.22, 31,503.41 and 7,673.88

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Solution

The fourth proportional to 21,000.22, 31,503.41 and 7,673.88 is: 11,511.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,000.22 : 31,503.41 = 7,673.88 : x
  2. Step 2: Convert to fraction form
    21,000.22/31,503.41 = 7,673.88/x
  3. Step 3: Cross multiply
    21,000.22x = 31,503.41 × 7,673.88
  4. Step 4: Simplify right side
    21,000.22x = 241,753,387.93
  5. Step 5: Solve for x
    x = 241,753,387.93/21,000.22
  6. Step 6: Final answer
    x = 11,511.95

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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.