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Finding the Fourth Proportional to 11,624.21, 17,436.16 and 2,859.20

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Solution

The fourth proportional to 11,624.21, 17,436.16 and 2,859.20 is: 4,288.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,624.21 : 17,436.16 = 2,859.20 : x
  2. Step 2: Convert to fraction form
    11,624.21/17,436.16 = 2,859.20/x
  3. Step 3: Cross multiply
    11,624.21x = 17,436.16 × 2,859.20
  4. Step 4: Simplify right side
    11,624.21x = 49,853,450.45
  5. Step 5: Solve for x
    x = 49,853,450.45/11,624.21
  6. Step 6: Final answer
    x = 4,288.76

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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.