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Finding the Fourth Proportional to 12,200.91, 18,298.93 and 5,626.14

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Solution

The fourth proportional to 12,200.91, 18,298.93 and 5,626.14 is: 8,438.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,200.91 : 18,298.93 = 5,626.14 : x
  2. Step 2: Convert to fraction form
    12,200.91/18,298.93 = 5,626.14/x
  3. Step 3: Cross multiply
    12,200.91x = 18,298.93 × 5,626.14
  4. Step 4: Simplify right side
    12,200.91x = 102,952,342.03
  5. Step 5: Solve for x
    x = 102,952,342.03/12,200.91
  6. Step 6: Final answer
    x = 8,438.09

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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.