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Finding the Fourth Proportional to 13,859.54, 20,796.26 and 6,464.58

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Solution

The fourth proportional to 13,859.54, 20,796.26 and 6,464.58 is: 9,700.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,859.54 : 20,796.26 = 6,464.58 : x
  2. Step 2: Convert to fraction form
    13,859.54/20,796.26 = 6,464.58/x
  3. Step 3: Cross multiply
    13,859.54x = 20,796.26 × 6,464.58
  4. Step 4: Simplify right side
    13,859.54x = 134,439,086.47
  5. Step 5: Solve for x
    x = 134,439,086.47/13,859.54
  6. Step 6: Final answer
    x = 9,700.11

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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.