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Finding the Fourth Proportional to 27,998.46, 41,971.77 and 9,517.50

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Solution

The fourth proportional to 27,998.46, 41,971.77 and 9,517.50 is: 14,267.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,998.46 : 41,971.77 = 9,517.50 : x
  2. Step 2: Convert to fraction form
    27,998.46/41,971.77 = 9,517.50/x
  3. Step 3: Cross multiply
    27,998.46x = 41,971.77 × 9,517.50
  4. Step 4: Simplify right side
    27,998.46x = 399,466,320.98
  5. Step 5: Solve for x
    x = 399,466,320.98/27,998.46
  6. Step 6: Final answer
    x = 14,267.44

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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.