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Finding the Fourth Proportional to 13,857.47, 20,797.14 and 6,458.12

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Solution

The fourth proportional to 13,857.47, 20,797.14 and 6,458.12 is: 9,692.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,857.47 : 20,797.14 = 6,458.12 : x
  2. Step 2: Convert to fraction form
    13,857.47/20,797.14 = 6,458.12/x
  3. Step 3: Cross multiply
    13,857.47x = 20,797.14 × 6,458.12
  4. Step 4: Simplify right side
    13,857.47x = 134,310,425.78
  5. Step 5: Solve for x
    x = 134,310,425.78/13,857.47
  6. Step 6: Final answer
    x = 9,692.28

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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.