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Finding the Fourth Proportional to 12,146.01, 18,219.08 and 3,380.93

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Solution

The fourth proportional to 12,146.01, 18,219.08 and 3,380.93 is: 5,071.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,146.01 : 18,219.08 = 3,380.93 : x
  2. Step 2: Convert to fraction form
    12,146.01/18,219.08 = 3,380.93/x
  3. Step 3: Cross multiply
    12,146.01x = 18,219.08 × 3,380.93
  4. Step 4: Simplify right side
    12,146.01x = 61,597,434.14
  5. Step 5: Solve for x
    x = 61,597,434.14/12,146.01
  6. Step 6: Final answer
    x = 5,071.41

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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.