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Finding the Fourth Proportional to 20,506.96, 30,745.86 and 9,821.08

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Solution

The fourth proportional to 20,506.96, 30,745.86 and 9,821.08 is: 14,724.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,506.96 : 30,745.86 = 9,821.08 : x
  2. Step 2: Convert to fraction form
    20,506.96/30,745.86 = 9,821.08/x
  3. Step 3: Cross multiply
    20,506.96x = 30,745.86 × 9,821.08
  4. Step 4: Simplify right side
    20,506.96x = 301,957,550.73
  5. Step 5: Solve for x
    x = 301,957,550.73/20,506.96
  6. Step 6: Final answer
    x = 14,724.64

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1.5x scale

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.