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Finding the Fourth Proportional to 12,614.33, 18,885.81 and 6,677.74

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Solution

The fourth proportional to 12,614.33, 18,885.81 and 6,677.74 is: 9,997.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,614.33 : 18,885.81 = 6,677.74 : x
  2. Step 2: Convert to fraction form
    12,614.33/18,885.81 = 6,677.74/x
  3. Step 3: Cross multiply
    12,614.33x = 18,885.81 × 6,677.74
  4. Step 4: Simplify right side
    12,614.33x = 126,114,539.96
  5. Step 5: Solve for x
    x = 126,114,539.96/12,614.33
  6. Step 6: Final answer
    x = 9,997.72

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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.