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Finding the Fourth Proportional to 12,126.60, 18,165.90 and 10,683.40

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Solution

The fourth proportional to 12,126.60, 18,165.90 and 10,683.40 is: 16,003.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,126.60 : 18,165.90 = 10,683.40 : x
  2. Step 2: Convert to fraction form
    12,126.60/18,165.90 = 10,683.40/x
  3. Step 3: Cross multiply
    12,126.60x = 18,165.90 × 10,683.40
  4. Step 4: Simplify right side
    12,126.60x = 194,073,576.06
  5. Step 5: Solve for x
    x = 194,073,576.06/12,126.60
  6. Step 6: Final answer
    x = 16,003.96

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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.