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Finding the Fourth Proportional to 12,991.34, 19,488.36 and 4,224.20

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Solution

The fourth proportional to 12,991.34, 19,488.36 and 4,224.20 is: 6,336.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,991.34 : 19,488.36 = 4,224.20 : x
  2. Step 2: Convert to fraction form
    12,991.34/19,488.36 = 4,224.20/x
  3. Step 3: Cross multiply
    12,991.34x = 19,488.36 × 4,224.20
  4. Step 4: Simplify right side
    12,991.34x = 82,322,632.87
  5. Step 5: Solve for x
    x = 82,322,632.87/12,991.34
  6. Step 6: Final answer
    x = 6,336.73

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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.