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Finding the Fourth Proportional to 12,914.46, 19,354.67 and 5,119.02

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Solution

The fourth proportional to 12,914.46, 19,354.67 and 5,119.02 is: 7,671.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,914.46 : 19,354.67 = 5,119.02 : x
  2. Step 2: Convert to fraction form
    12,914.46/19,354.67 = 5,119.02/x
  3. Step 3: Cross multiply
    12,914.46x = 19,354.67 × 5,119.02
  4. Step 4: Simplify right side
    12,914.46x = 99,076,942.82
  5. Step 5: Solve for x
    x = 99,076,942.82/12,914.46
  6. Step 6: Final answer
    x = 7,671.78

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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.