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Finding the Fourth Proportional to 18,632.37, 27,942.60 and 6,149.58

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Solution

The fourth proportional to 18,632.37, 27,942.60 and 6,149.58 is: 9,222.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,632.37 : 27,942.60 = 6,149.58 : x
  2. Step 2: Convert to fraction form
    18,632.37/27,942.60 = 6,149.58/x
  3. Step 3: Cross multiply
    18,632.37x = 27,942.60 × 6,149.58
  4. Step 4: Simplify right side
    18,632.37x = 171,835,254.11
  5. Step 5: Solve for x
    x = 171,835,254.11/18,632.37
  6. Step 6: Final answer
    x = 9,222.40

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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.