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Finding the Fourth Proportional to 20,558.80, 30,840.72 and 8,869.60

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Solution

The fourth proportional to 20,558.80, 30,840.72 and 8,869.60 is: 13,305.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,558.80 : 30,840.72 = 8,869.60 : x
  2. Step 2: Convert to fraction form
    20,558.80/30,840.72 = 8,869.60/x
  3. Step 3: Cross multiply
    20,558.80x = 30,840.72 × 8,869.60
  4. Step 4: Simplify right side
    20,558.80x = 273,544,850.11
  5. Step 5: Solve for x
    x = 273,544,850.11/20,558.80
  6. Step 6: Final answer
    x = 13,305.49

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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.