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Finding the Fourth Proportional to 12,662.69, 17,475.18 and 7,628.49

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Solution

The fourth proportional to 12,662.69, 17,475.18 and 7,628.49 is: 10,527.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,662.69 : 17,475.18 = 7,628.49 : x
  2. Step 2: Convert to fraction form
    12,662.69/17,475.18 = 7,628.49/x
  3. Step 3: Cross multiply
    12,662.69x = 17,475.18 × 7,628.49
  4. Step 4: Simplify right side
    12,662.69x = 133,309,235.88
  5. Step 5: Solve for x
    x = 133,309,235.88/12,662.69
  6. Step 6: Final answer
    x = 10,527.72

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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.