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Finding the Fourth Proportional to 14,186.12, 21,278.79 and 4,325

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Solution

The fourth proportional to 14,186.12, 21,278.79 and 4,325 is: 6,487.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,186.12 : 21,278.79 = 4,325 : x
  2. Step 2: Convert to fraction form
    14,186.12/21,278.79 = 4,325/x
  3. Step 3: Cross multiply
    14,186.12x = 21,278.79 × 4,325
  4. Step 4: Simplify right side
    14,186.12x = 92,030,766.75
  5. Step 5: Solve for x
    x = 92,030,766.75/14,186.12
  6. Step 6: Final answer
    x = 6,487.38

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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.