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Finding the Fourth Proportional to 13,863.90, 20,768.01 and 6,458.46

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Solution

The fourth proportional to 13,863.90, 20,768.01 and 6,458.46 is: 9,674.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,863.90 : 20,768.01 = 6,458.46 : x
  2. Step 2: Convert to fraction form
    13,863.90/20,768.01 = 6,458.46/x
  3. Step 3: Cross multiply
    13,863.90x = 20,768.01 × 6,458.46
  4. Step 4: Simplify right side
    13,863.90x = 134,129,361.86
  5. Step 5: Solve for x
    x = 134,129,361.86/13,863.90
  6. Step 6: Final answer
    x = 9,674.72

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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.