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Finding the Fourth Proportional to 12,155.72, 18,222.80 and 4,765.48

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Solution

The fourth proportional to 12,155.72, 18,222.80 and 4,765.48 is: 7,143.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,155.72 : 18,222.80 = 4,765.48 : x
  2. Step 2: Convert to fraction form
    12,155.72/18,222.80 = 4,765.48/x
  3. Step 3: Cross multiply
    12,155.72x = 18,222.80 × 4,765.48
  4. Step 4: Simplify right side
    12,155.72x = 86,840,388.94
  5. Step 5: Solve for x
    x = 86,840,388.94/12,155.72
  6. Step 6: Final answer
    x = 7,143.99

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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.