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Finding the Fourth Proportional to 13,386.36, 18,474.48 and 7,797

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Solution

The fourth proportional to 13,386.36, 18,474.48 and 7,797 is: 10,760.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,386.36 : 18,474.48 = 7,797 : x
  2. Step 2: Convert to fraction form
    13,386.36/18,474.48 = 7,797/x
  3. Step 3: Cross multiply
    13,386.36x = 18,474.48 × 7,797
  4. Step 4: Simplify right side
    13,386.36x = 144,045,520.56
  5. Step 5: Solve for x
    x = 144,045,520.56/13,386.36
  6. Step 6: Final answer
    x = 10,760.62

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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.