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Finding the Fourth Proportional to 13,324.82, 18,386.69 and 7,947.54

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Solution

The fourth proportional to 13,324.82, 18,386.69 and 7,947.54 is: 10,966.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,324.82 : 18,386.69 = 7,947.54 : x
  2. Step 2: Convert to fraction form
    13,324.82/18,386.69 = 7,947.54/x
  3. Step 3: Cross multiply
    13,324.82x = 18,386.69 × 7,947.54
  4. Step 4: Simplify right side
    13,324.82x = 146,128,914.50
  5. Step 5: Solve for x
    x = 146,128,914.50/13,324.82
  6. Step 6: Final answer
    x = 10,966.67

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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.