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Finding the Fourth Proportional to 12,400.50, 17,127.27 and 8,201.46

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Solution

The fourth proportional to 12,400.50, 17,127.27 and 8,201.46 is: 11,327.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,400.50 : 17,127.27 = 8,201.46 : x
  2. Step 2: Convert to fraction form
    12,400.50/17,127.27 = 8,201.46/x
  3. Step 3: Cross multiply
    12,400.50x = 17,127.27 × 8,201.46
  4. Step 4: Simplify right side
    12,400.50x = 140,468,619.81
  5. Step 5: Solve for x
    x = 140,468,619.81/12,400.50
  6. Step 6: Final answer
    x = 11,327.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.