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Finding the Fourth Proportional to 13,371.36, 18,451.80 and 7,707

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Solution

The fourth proportional to 13,371.36, 18,451.80 and 7,707 is: 10,635.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,371.36 : 18,451.80 = 7,707 : x
  2. Step 2: Convert to fraction form
    13,371.36/18,451.80 = 7,707/x
  3. Step 3: Cross multiply
    13,371.36x = 18,451.80 × 7,707
  4. Step 4: Simplify right side
    13,371.36x = 142,208,022.60
  5. Step 5: Solve for x
    x = 142,208,022.60/13,371.36
  6. Step 6: Final answer
    x = 10,635.27

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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.