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Finding the Fourth Proportional to 12,022.24, 16,597.12 and 8,050.12

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Solution

The fourth proportional to 12,022.24, 16,597.12 and 8,050.12 is: 11,113.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,022.24 : 16,597.12 = 8,050.12 : x
  2. Step 2: Convert to fraction form
    12,022.24/16,597.12 = 8,050.12/x
  3. Step 3: Cross multiply
    12,022.24x = 16,597.12 × 8,050.12
  4. Step 4: Simplify right side
    12,022.24x = 133,608,807.65
  5. Step 5: Solve for x
    x = 133,608,807.65/12,022.24
  6. Step 6: Final answer
    x = 11,113.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.