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Finding the Fourth Proportional to 13,708.36, 18,916.50 and 7,739.20

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Solution

The fourth proportional to 13,708.36, 18,916.50 and 7,739.20 is: 10,679.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,708.36 : 18,916.50 = 7,739.20 : x
  2. Step 2: Convert to fraction form
    13,708.36/18,916.50 = 7,739.20/x
  3. Step 3: Cross multiply
    13,708.36x = 18,916.50 × 7,739.20
  4. Step 4: Simplify right side
    13,708.36x = 146,398,576.80
  5. Step 5: Solve for x
    x = 146,398,576.80/13,708.36
  6. Step 6: Final answer
    x = 10,679.51

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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.