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Finding the Fourth Proportional to 20,558.80, 30,829.20 and 9,461.80

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Solution

The fourth proportional to 20,558.80, 30,829.20 and 9,461.80 is: 14,188.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,558.80 : 30,829.20 = 9,461.80 : x
  2. Step 2: Convert to fraction form
    20,558.80/30,829.20 = 9,461.80/x
  3. Step 3: Cross multiply
    20,558.80x = 30,829.20 × 9,461.80
  4. Step 4: Simplify right side
    20,558.80x = 291,699,724.56
  5. Step 5: Solve for x
    x = 291,699,724.56/20,558.80
  6. Step 6: Final answer
    x = 14,188.56

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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.