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Finding the Fourth Proportional to 13,901.62, 20,857.56 and 6,508.48

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Solution

The fourth proportional to 13,901.62, 20,857.56 and 6,508.48 is: 9,765.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,901.62 : 20,857.56 = 6,508.48 : x
  2. Step 2: Convert to fraction form
    13,901.62/20,857.56 = 6,508.48/x
  3. Step 3: Cross multiply
    13,901.62x = 20,857.56 × 6,508.48
  4. Step 4: Simplify right side
    13,901.62x = 135,751,012.11
  5. Step 5: Solve for x
    x = 135,751,012.11/13,901.62
  6. Step 6: Final answer
    x = 9,765.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.