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Finding the Fourth Proportional to 12,296.37, 18,444.57 and 3,529.24

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Solution

The fourth proportional to 12,296.37, 18,444.57 and 3,529.24 is: 5,293.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,296.37 : 18,444.57 = 3,529.24 : x
  2. Step 2: Convert to fraction form
    12,296.37/18,444.57 = 3,529.24/x
  3. Step 3: Cross multiply
    12,296.37x = 18,444.57 × 3,529.24
  4. Step 4: Simplify right side
    12,296.37x = 65,095,314.23
  5. Step 5: Solve for x
    x = 65,095,314.23/12,296.37
  6. Step 6: Final answer
    x = 5,293.86

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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.