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Finding the Fourth Proportional to 12,160.38, 18,239.61 and 3,840.64

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Solution

The fourth proportional to 12,160.38, 18,239.61 and 3,840.64 is: 5,760.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,160.38 : 18,239.61 = 3,840.64 : x
  2. Step 2: Convert to fraction form
    12,160.38/18,239.61 = 3,840.64/x
  3. Step 3: Cross multiply
    12,160.38x = 18,239.61 × 3,840.64
  4. Step 4: Simplify right side
    12,160.38x = 70,051,775.75
  5. Step 5: Solve for x
    x = 70,051,775.75/12,160.38
  6. Step 6: Final answer
    x = 5,760.66

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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.