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Finding the Fourth Proportional to 13,857.54, 20,793.26 and 6,462.58

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Solution

The fourth proportional to 13,857.54, 20,793.26 and 6,462.58 is: 9,697.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,857.54 : 20,793.26 = 6,462.58 : x
  2. Step 2: Convert to fraction form
    13,857.54/20,793.26 = 6,462.58/x
  3. Step 3: Cross multiply
    13,857.54x = 20,793.26 × 6,462.58
  4. Step 4: Simplify right side
    13,857.54x = 134,378,106.21
  5. Step 5: Solve for x
    x = 134,378,106.21/13,857.54
  6. Step 6: Final answer
    x = 9,697.11

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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.