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Finding the Fourth Proportional to 12,206.24, 18,309.36 and 4,811.48

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Solution

The fourth proportional to 12,206.24, 18,309.36 and 4,811.48 is: 7,217.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206.24 : 18,309.36 = 4,811.48 : x
  2. Step 2: Convert to fraction form
    12,206.24/18,309.36 = 4,811.48/x
  3. Step 3: Cross multiply
    12,206.24x = 18,309.36 × 4,811.48
  4. Step 4: Simplify right side
    12,206.24x = 88,095,027.91
  5. Step 5: Solve for x
    x = 88,095,027.91/12,206.24
  6. Step 6: Final answer
    x = 7,217.22

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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.