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Finding the Fourth Proportional to 14,096.80, 21,137.52 and 7,177.12

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Solution

The fourth proportional to 14,096.80, 21,137.52 and 7,177.12 is: 10,761.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,096.80 : 21,137.52 = 7,177.12 : x
  2. Step 2: Convert to fraction form
    14,096.80/21,137.52 = 7,177.12/x
  3. Step 3: Cross multiply
    14,096.80x = 21,137.52 × 7,177.12
  4. Step 4: Simplify right side
    14,096.80x = 151,706,517.54
  5. Step 5: Solve for x
    x = 151,706,517.54/14,096.80
  6. Step 6: Final answer
    x = 10,761.77

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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.