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Finding the Fourth Proportional to 13,851.40, 20,770.38 and 6,454.12

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Solution

The fourth proportional to 13,851.40, 20,770.38 and 6,454.12 is: 9,678.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,851.40 : 20,770.38 = 6,454.12 : x
  2. Step 2: Convert to fraction form
    13,851.40/20,770.38 = 6,454.12/x
  3. Step 3: Cross multiply
    13,851.40x = 20,770.38 × 6,454.12
  4. Step 4: Simplify right side
    13,851.40x = 134,054,524.97
  5. Step 5: Solve for x
    x = 134,054,524.97/13,851.40
  6. Step 6: Final answer
    x = 9,678.05

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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.