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Finding the Fourth Proportional to 19,879.79, 29,797.81 and 13,289.63

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Solution

The fourth proportional to 19,879.79, 29,797.81 and 13,289.63 is: 19,919.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,879.79 : 29,797.81 = 13,289.63 : x
  2. Step 2: Convert to fraction form
    19,879.79/29,797.81 = 13,289.63/x
  3. Step 3: Cross multiply
    19,879.79x = 29,797.81 × 13,289.63
  4. Step 4: Simplify right side
    19,879.79x = 396,001,687.50
  5. Step 5: Solve for x
    x = 396,001,687.50/19,879.79
  6. Step 6: Final answer
    x = 19,919.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.