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Finding the Fourth Proportional to 12,153.69, 18,232.35 and 3,832.83

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Solution

The fourth proportional to 12,153.69, 18,232.35 and 3,832.83 is: 5,749.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,153.69 : 18,232.35 = 3,832.83 : x
  2. Step 2: Convert to fraction form
    12,153.69/18,232.35 = 3,832.83/x
  3. Step 3: Cross multiply
    12,153.69x = 18,232.35 × 3,832.83
  4. Step 4: Simplify right side
    12,153.69x = 69,881,498.05
  5. Step 5: Solve for x
    x = 69,881,498.05/12,153.69
  6. Step 6: Final answer
    x = 5,749.82

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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.