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Finding the Fourth Proportional to 13,282.31, 18,329.59 and 7,313.97

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Solution

The fourth proportional to 13,282.31, 18,329.59 and 7,313.97 is: 10,093.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,282.31 : 18,329.59 = 7,313.97 : x
  2. Step 2: Convert to fraction form
    13,282.31/18,329.59 = 7,313.97/x
  3. Step 3: Cross multiply
    13,282.31x = 18,329.59 × 7,313.97
  4. Step 4: Simplify right side
    13,282.31x = 134,062,020.37
  5. Step 5: Solve for x
    x = 134,062,020.37/13,282.31
  6. Step 6: Final answer
    x = 10,093.27

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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.