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Finding the Fourth Proportional to 12,156.57, 18,234.86 and 2,922.57

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Solution

The fourth proportional to 12,156.57, 18,234.86 and 2,922.57 is: 4,383.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,156.57 : 18,234.86 = 2,922.57 : x
  2. Step 2: Convert to fraction form
    12,156.57/18,234.86 = 2,922.57/x
  3. Step 3: Cross multiply
    12,156.57x = 18,234.86 × 2,922.57
  4. Step 4: Simplify right side
    12,156.57x = 53,292,640.18
  5. Step 5: Solve for x
    x = 53,292,640.18/12,156.57
  6. Step 6: Final answer
    x = 4,383.86

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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.