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Finding the Fourth Proportional to 14,770.75, 20,383.64 and 8,146.75

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Solution

The fourth proportional to 14,770.75, 20,383.64 and 8,146.75 is: 11,242.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,770.75 : 20,383.64 = 8,146.75 : x
  2. Step 2: Convert to fraction form
    14,770.75/20,383.64 = 8,146.75/x
  3. Step 3: Cross multiply
    14,770.75x = 20,383.64 × 8,146.75
  4. Step 4: Simplify right side
    14,770.75x = 166,060,419.17
  5. Step 5: Solve for x
    x = 166,060,419.17/14,770.75
  6. Step 6: Final answer
    x = 11,242.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.