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Finding the Fourth Proportional to 11,624.48, 17,436.74 and 3,833.30

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Solution

The fourth proportional to 11,624.48, 17,436.74 and 3,833.30 is: 5,749.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,624.48 : 17,436.74 = 3,833.30 : x
  2. Step 2: Convert to fraction form
    11,624.48/17,436.74 = 3,833.30/x
  3. Step 3: Cross multiply
    11,624.48x = 17,436.74 × 3,833.30
  4. Step 4: Simplify right side
    11,624.48x = 66,840,181.79
  5. Step 5: Solve for x
    x = 66,840,181.79/11,624.48
  6. Step 6: Final answer
    x = 5,749.95

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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.