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Finding the Fourth Proportional to 12,299.69, 18,449.54 and 5,275.17

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Solution

The fourth proportional to 12,299.69, 18,449.54 and 5,275.17 is: 7,912.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,299.69 : 18,449.54 = 5,275.17 : x
  2. Step 2: Convert to fraction form
    12,299.69/18,449.54 = 5,275.17/x
  3. Step 3: Cross multiply
    12,299.69x = 18,449.54 × 5,275.17
  4. Step 4: Simplify right side
    12,299.69x = 97,324,341.30
  5. Step 5: Solve for x
    x = 97,324,341.30/12,299.69
  6. Step 6: Final answer
    x = 7,912.75

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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.