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Finding the Fourth Proportional to 13,047.81, 18,005.82 and 7,382.46

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Solution

The fourth proportional to 13,047.81, 18,005.82 and 7,382.46 is: 10,187.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,047.81 : 18,005.82 = 7,382.46 : x
  2. Step 2: Convert to fraction form
    13,047.81/18,005.82 = 7,382.46/x
  3. Step 3: Cross multiply
    13,047.81x = 18,005.82 × 7,382.46
  4. Step 4: Simplify right side
    13,047.81x = 132,927,245.92
  5. Step 5: Solve for x
    x = 132,927,245.92/13,047.81
  6. Step 6: Final answer
    x = 10,187.71

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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.