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Finding the Fourth Proportional to 12,153.70, 18,232.36 and 3,832.84

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Solution

The fourth proportional to 12,153.70, 18,232.36 and 3,832.84 is: 5,749.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,153.70 : 18,232.36 = 3,832.84 : x
  2. Step 2: Convert to fraction form
    12,153.70/18,232.36 = 3,832.84/x
  3. Step 3: Cross multiply
    12,153.70x = 18,232.36 × 3,832.84
  4. Step 4: Simplify right side
    12,153.70x = 69,881,718.70
  5. Step 5: Solve for x
    x = 69,881,718.70/12,153.70
  6. Step 6: Final answer
    x = 5,749.83

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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.