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Finding the Fourth Proportional to 13,813.50, 20,728.77 and 6,022.92

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Solution

The fourth proportional to 13,813.50, 20,728.77 and 6,022.92 is: 9,038.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.50 : 20,728.77 = 6,022.92 : x
  2. Step 2: Convert to fraction form
    13,813.50/20,728.77 = 6,022.92/x
  3. Step 3: Cross multiply
    13,813.50x = 20,728.77 × 6,022.92
  4. Step 4: Simplify right side
    13,813.50x = 124,847,723.41
  5. Step 5: Solve for x
    x = 124,847,723.41/13,813.50
  6. Step 6: Final answer
    x = 9,038.09

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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.