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Finding the Fourth Proportional to 18,470.47, 27,709.83 and 7,382.38

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Solution

The fourth proportional to 18,470.47, 27,709.83 and 7,382.38 is: 11,075.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,470.47 : 27,709.83 = 7,382.38 : x
  2. Step 2: Convert to fraction form
    18,470.47/27,709.83 = 7,382.38/x
  3. Step 3: Cross multiply
    18,470.47x = 27,709.83 × 7,382.38
  4. Step 4: Simplify right side
    18,470.47x = 204,564,494.80
  5. Step 5: Solve for x
    x = 204,564,494.80/18,470.47
  6. Step 6: Final answer
    x = 11,075.22

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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.