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Finding the Fourth Proportional to 12,274.94, 18,420.42 and 6,732.14

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Solution

The fourth proportional to 12,274.94, 18,420.42 and 6,732.14 is: 10,102.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,274.94 : 18,420.42 = 6,732.14 : x
  2. Step 2: Convert to fraction form
    12,274.94/18,420.42 = 6,732.14/x
  3. Step 3: Cross multiply
    12,274.94x = 18,420.42 × 6,732.14
  4. Step 4: Simplify right side
    12,274.94x = 124,008,846.30
  5. Step 5: Solve for x
    x = 124,008,846.30/12,274.94
  6. Step 6: Final answer
    x = 10,102.60

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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.