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Finding the Fourth Proportional to 12,099.42, 18,146.06 and 3,780.28

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Solution

The fourth proportional to 12,099.42, 18,146.06 and 3,780.28 is: 5,669.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,099.42 : 18,146.06 = 3,780.28 : x
  2. Step 2: Convert to fraction form
    12,099.42/18,146.06 = 3,780.28/x
  3. Step 3: Cross multiply
    12,099.42x = 18,146.06 × 3,780.28
  4. Step 4: Simplify right side
    12,099.42x = 68,597,123.43
  5. Step 5: Solve for x
    x = 68,597,123.43/12,099.42
  6. Step 6: Final answer
    x = 5,669.46

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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.