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Finding the Fourth Proportional to 12,762.94, 17,621.08 and 8,227.66

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Solution

The fourth proportional to 12,762.94, 17,621.08 and 8,227.66 is: 11,359.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762.94 : 17,621.08 = 8,227.66 : x
  2. Step 2: Convert to fraction form
    12,762.94/17,621.08 = 8,227.66/x
  3. Step 3: Cross multiply
    12,762.94x = 17,621.08 × 8,227.66
  4. Step 4: Simplify right side
    12,762.94x = 144,980,255.07
  5. Step 5: Solve for x
    x = 144,980,255.07/12,762.94
  6. Step 6: Final answer
    x = 11,359.47

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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.