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Finding the Fourth Proportional to 12,155.57, 18,233.34 and 3,947.57

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Solution

The fourth proportional to 12,155.57, 18,233.34 and 3,947.57 is: 5,921.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,155.57 : 18,233.34 = 3,947.57 : x
  2. Step 2: Convert to fraction form
    12,155.57/18,233.34 = 3,947.57/x
  3. Step 3: Cross multiply
    12,155.57x = 18,233.34 × 3,947.57
  4. Step 4: Simplify right side
    12,155.57x = 71,977,385.98
  5. Step 5: Solve for x
    x = 71,977,385.98/12,155.57
  6. Step 6: Final answer
    x = 5,921.35

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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.