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Finding the Fourth Proportional to 43,806.45, 65,709.70 and 12,215.24

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Solution

The fourth proportional to 43,806.45, 65,709.70 and 12,215.24 is: 18,322.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,806.45 : 65,709.70 = 12,215.24 : x
  2. Step 2: Convert to fraction form
    43,806.45/65,709.70 = 12,215.24/x
  3. Step 3: Cross multiply
    43,806.45x = 65,709.70 × 12,215.24
  4. Step 4: Simplify right side
    43,806.45x = 802,659,643.15
  5. Step 5: Solve for x
    x = 802,659,643.15/43,806.45
  6. Step 6: Final answer
    x = 18,322.86

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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.