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Finding the Fourth Proportional to 13,048.14, 18,007.32 and 7,382.88

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Solution

The fourth proportional to 13,048.14, 18,007.32 and 7,382.88 is: 10,188.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,048.14 : 18,007.32 = 7,382.88 : x
  2. Step 2: Convert to fraction form
    13,048.14/18,007.32 = 7,382.88/x
  3. Step 3: Cross multiply
    13,048.14x = 18,007.32 × 7,382.88
  4. Step 4: Simplify right side
    13,048.14x = 132,945,882.68
  5. Step 5: Solve for x
    x = 132,945,882.68/13,048.14
  6. Step 6: Final answer
    x = 10,188.88

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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.